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Finding the Third Proportional to 31,398,499.13 and 42,408,820.69

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Solution

The third proportional to 31,398,499.13 and 42,408,820.69 is: 57,280,065.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,398,499.13 : 42,408,820.69 = 42,408,820.69 : x
  2. Step 2: Convert to fraction form
    31,398,499.13/42,408,820.69 = 42,408,820.69/x
  3. Step 3: Cross multiply
    31,398,499.13x = 42,408,820.69 × 42,408,820.69
  4. Step 4: Simplify right side
    31,398,499.13x = 1,798,508,072,104,528
  5. Step 5: Solve for x
    x = 1,798,508,072,104,528/31,398,499.13
  6. Step 6: Final answer
    x = 57,280,065.04

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.