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Finding the Third Proportional to 51,072,880 and 77,138,952

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Solution

The third proportional to 51,072,880 and 77,138,952 is: 116,508,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,072,880 : 77,138,952 = 77,138,952 : x
  2. Step 2: Convert to fraction form
    51,072,880/77,138,952 = 77,138,952/x
  3. Step 3: Cross multiply
    51,072,880x = 77,138,952 × 77,138,952
  4. Step 4: Simplify right side
    51,072,880x = 5,950,417,915,658,304
  5. Step 5: Solve for x
    x = 5,950,417,915,658,304/51,072,880
  6. Step 6: Final answer
    x = 116,508,368.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.