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Finding the Third Proportional to 76,746,706 and 118,084,294

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Solution

The third proportional to 76,746,706 and 118,084,294 is: 181,687,282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,746,706 : 118,084,294 = 118,084,294 : x
  2. Step 2: Convert to fraction form
    76,746,706/118,084,294 = 118,084,294/x
  3. Step 3: Cross multiply
    76,746,706x = 118,084,294 × 118,084,294
  4. Step 4: Simplify right side
    76,746,706x = 13,943,900,489,478,436
  5. Step 5: Solve for x
    x = 13,943,900,489,478,436/76,746,706
  6. Step 6: Final answer
    x = 181,687,282.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.