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Finding the Third Proportional to 31,293,141.75 and 47,869,731

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Solution

The third proportional to 31,293,141.75 and 47,869,731 is: 73,227,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,293,141.75 : 47,869,731 = 47,869,731 : x
  2. Step 2: Convert to fraction form
    31,293,141.75/47,869,731 = 47,869,731/x
  3. Step 3: Cross multiply
    31,293,141.75x = 47,869,731 × 47,869,731
  4. Step 4: Simplify right side
    31,293,141.75x = 2,291,511,146,012,361
  5. Step 5: Solve for x
    x = 2,291,511,146,012,361/31,293,141.75
  6. Step 6: Final answer
    x = 73,227,263.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.