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Finding the Third Proportional to 52,313,472 and 77,723,712

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Solution

The third proportional to 52,313,472 and 77,723,712 is: 115,476,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,313,472 : 77,723,712 = 77,723,712 : x
  2. Step 2: Convert to fraction form
    52,313,472/77,723,712 = 77,723,712/x
  3. Step 3: Cross multiply
    52,313,472x = 77,723,712 × 77,723,712
  4. Step 4: Simplify right side
    52,313,472x = 6,040,975,407,058,944
  5. Step 5: Solve for x
    x = 6,040,975,407,058,944/52,313,472
  6. Step 6: Final answer
    x = 115,476,476.25

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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.