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Finding the Third Proportional to 581,817,267,560 and 1,359,387,663,800

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Solution

The third proportional to 581,817,267,560 and 1,359,387,663,800 is: 3,176,142,963,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,817,267,560 : 1,359,387,663,800 = 1,359,387,663,800 : x
  2. Step 2: Convert to fraction form
    581,817,267,560/1,359,387,663,800 = 1,359,387,663,800/x
  3. Step 3: Cross multiply
    581,817,267,560x = 1,359,387,663,800 × 1,359,387,663,800
  4. Step 4: Simplify right side
    581,817,267,560x = 1,847,934,820,491,621,702,828,032
  5. Step 5: Solve for x
    x = 1,847,934,820,491,621,702,828,032/581,817,267,560
  6. Step 6: Final answer
    x = 3,176,142,963,651.48

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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.