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Finding the Third Proportional to 34,545,002,472 and 53,074,578,708

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Solution

The third proportional to 34,545,002,472 and 53,074,578,708 is: 81,543,224,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,545,002,472 : 53,074,578,708 = 53,074,578,708 : x
  2. Step 2: Convert to fraction form
    34,545,002,472/53,074,578,708 = 53,074,578,708/x
  3. Step 3: Cross multiply
    34,545,002,472x = 53,074,578,708 × 53,074,578,708
  4. Step 4: Simplify right side
    34,545,002,472x = 2,816,910,905,031,686,881,280
  5. Step 5: Solve for x
    x = 2,816,910,905,031,686,881,280/34,545,002,472
  6. Step 6: Final answer
    x = 81,543,224,879.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.