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Finding the Third Proportional to 767,156,294 and 1,654,057,586

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Solution

The third proportional to 767,156,294 and 1,654,057,586 is: 3,566,296,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,156,294 : 1,654,057,586 = 1,654,057,586 : x
  2. Step 2: Convert to fraction form
    767,156,294/1,654,057,586 = 1,654,057,586/x
  3. Step 3: Cross multiply
    767,156,294x = 1,654,057,586 × 1,654,057,586
  4. Step 4: Simplify right side
    767,156,294x = 2,735,906,497,804,147,200
  5. Step 5: Solve for x
    x = 2,735,906,497,804,147,200/767,156,294
  6. Step 6: Final answer
    x = 3,566,296,097.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.