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Finding the Third Proportional to 724,678,564,680 and 1,080,733,516,776

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Solution

The third proportional to 724,678,564,680 and 1,080,733,516,776 is: 1,611,728,276,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,678,564,680 : 1,080,733,516,776 = 1,080,733,516,776 : x
  2. Step 2: Convert to fraction form
    724,678,564,680/1,080,733,516,776 = 1,080,733,516,776/x
  3. Step 3: Cross multiply
    724,678,564,680x = 1,080,733,516,776 × 1,080,733,516,776
  4. Step 4: Simplify right side
    724,678,564,680x = 1,167,984,934,283,020,628,656,128
  5. Step 5: Solve for x
    x = 1,167,984,934,283,020,628,656,128/724,678,564,680
  6. Step 6: Final answer
    x = 1,611,728,276,796.45

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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.