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Finding the Third Proportional to 29,842,242.75 and 47,453,870.25

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Solution

The third proportional to 29,842,242.75 and 47,453,870.25 is: 75,459,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842,242.75 : 47,453,870.25 = 47,453,870.25 : x
  2. Step 2: Convert to fraction form
    29,842,242.75/47,453,870.25 = 47,453,870.25/x
  3. Step 3: Cross multiply
    29,842,242.75x = 47,453,870.25 × 47,453,870.25
  4. Step 4: Simplify right side
    29,842,242.75x = 2,251,869,801,703,835
  5. Step 5: Solve for x
    x = 2,251,869,801,703,835/29,842,242.75
  6. Step 6: Final answer
    x = 75,459,134.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.