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Finding the Third Proportional to 51,739,712 and 86,227,664

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Solution

The third proportional to 51,739,712 and 86,227,664 is: 143,704,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,739,712 : 86,227,664 = 86,227,664 : x
  2. Step 2: Convert to fraction form
    51,739,712/86,227,664 = 86,227,664/x
  3. Step 3: Cross multiply
    51,739,712x = 86,227,664 × 86,227,664
  4. Step 4: Simplify right side
    51,739,712x = 7,435,210,038,896,896
  5. Step 5: Solve for x
    x = 7,435,210,038,896,896/51,739,712
  6. Step 6: Final answer
    x = 143,704,124.96

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.