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Finding the Third Proportional to 866,103,492 and 2,043,849,234

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Solution

The third proportional to 866,103,492 and 2,043,849,234 is: 4,823,118,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,103,492 : 2,043,849,234 = 2,043,849,234 : x
  2. Step 2: Convert to fraction form
    866,103,492/2,043,849,234 = 2,043,849,234/x
  3. Step 3: Cross multiply
    866,103,492x = 2,043,849,234 × 2,043,849,234
  4. Step 4: Simplify right side
    866,103,492x = 4,177,319,691,322,386,944
  5. Step 5: Solve for x
    x = 4,177,319,691,322,386,944/866,103,492
  6. Step 6: Final answer
    x = 4,823,118,403.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.