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Finding the Third Proportional to 581,817,267,558 and 1,359,387,663,795

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Solution

The third proportional to 581,817,267,558 and 1,359,387,663,795 is: 3,176,142,963,639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,817,267,558 : 1,359,387,663,795 = 1,359,387,663,795 : x
  2. Step 2: Convert to fraction form
    581,817,267,558/1,359,387,663,795 = 1,359,387,663,795/x
  3. Step 3: Cross multiply
    581,817,267,558x = 1,359,387,663,795 × 1,359,387,663,795
  4. Step 4: Simplify right side
    581,817,267,558x = 1,847,934,820,478,027,862,900,736
  5. Step 5: Solve for x
    x = 1,847,934,820,478,027,862,900,736/581,817,267,558
  6. Step 6: Final answer
    x = 3,176,142,963,639.03

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.