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Finding the Third Proportional to 813,127,088,751.75 and 1,230,148,561,631.20

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Solution

The third proportional to 813,127,088,751.75 and 1,230,148,561,631.20 is: 1,861,044,238,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,127,088,751.75 : 1,230,148,561,631.20 = 1,230,148,561,631.20 : x
  2. Step 2: Convert to fraction form
    813,127,088,751.75/1,230,148,561,631.20 = 1,230,148,561,631.20/x
  3. Step 3: Cross multiply
    813,127,088,751.75x = 1,230,148,561,631.20 × 1,230,148,561,631.20
  4. Step 4: Simplify right side
    813,127,088,751.75x = 1,513,265,483,683,310,092,681,216
  5. Step 5: Solve for x
    x = 1,513,265,483,683,310,092,681,216/813,127,088,751.75
  6. Step 6: Final answer
    x = 1,861,044,238,492.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.