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Finding the Third Proportional to 31,147,886.81 and 48,354,337.13

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Solution

The third proportional to 31,147,886.81 and 48,354,337.13 is: 75,065,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,147,886.81 : 48,354,337.13 = 48,354,337.13 : x
  2. Step 2: Convert to fraction form
    31,147,886.81/48,354,337.13 = 48,354,337.13/x
  3. Step 3: Cross multiply
    31,147,886.81x = 48,354,337.13 × 48,354,337.13
  4. Step 4: Simplify right side
    31,147,886.81x = 2,338,141,918,798,153.50
  5. Step 5: Solve for x
    x = 2,338,141,918,798,153.50/31,147,886.81
  6. Step 6: Final answer
    x = 75,065,828.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.