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Finding the Third Proportional to 724,678,564,704 and 1,080,733,516,812

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Solution

The third proportional to 724,678,564,704 and 1,080,733,516,812 is: 1,611,728,276,850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,678,564,704 : 1,080,733,516,812 = 1,080,733,516,812 : x
  2. Step 2: Convert to fraction form
    724,678,564,704/1,080,733,516,812 = 1,080,733,516,812/x
  3. Step 3: Cross multiply
    724,678,564,704x = 1,080,733,516,812 × 1,080,733,516,812
  4. Step 4: Simplify right side
    724,678,564,704x = 1,167,984,934,360,833,490,681,856
  5. Step 5: Solve for x
    x = 1,167,984,934,360,833,490,681,856/724,678,564,704
  6. Step 6: Final answer
    x = 1,611,728,276,850.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.