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Finding the Third Proportional to 36,547,776 and 81,265,292

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Solution

The third proportional to 36,547,776 and 81,265,292 is: 180,696,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,547,776 : 81,265,292 = 81,265,292 : x
  2. Step 2: Convert to fraction form
    36,547,776/81,265,292 = 81,265,292/x
  3. Step 3: Cross multiply
    36,547,776x = 81,265,292 × 81,265,292
  4. Step 4: Simplify right side
    36,547,776x = 6,604,047,683,845,264
  5. Step 5: Solve for x
    x = 6,604,047,683,845,264/36,547,776
  6. Step 6: Final answer
    x = 180,696,294.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.