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Finding the Third Proportional to 42,836,442.75 and 65,259,042.75

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Solution

The third proportional to 42,836,442.75 and 65,259,042.75 is: 99,418,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,836,442.75 : 65,259,042.75 = 65,259,042.75 : x
  2. Step 2: Convert to fraction form
    42,836,442.75/65,259,042.75 = 65,259,042.75/x
  3. Step 3: Cross multiply
    42,836,442.75x = 65,259,042.75 × 65,259,042.75
  4. Step 4: Simplify right side
    42,836,442.75x = 4,258,742,660,646,327.50
  5. Step 5: Solve for x
    x = 4,258,742,660,646,327.50/42,836,442.75
  6. Step 6: Final answer
    x = 99,418,681.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.