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Finding the Third Proportional to 57,815,712 and 89,574,768

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Solution

The third proportional to 57,815,712 and 89,574,768 is: 138,779,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,815,712 : 89,574,768 = 89,574,768 : x
  2. Step 2: Convert to fraction form
    57,815,712/89,574,768 = 89,574,768/x
  3. Step 3: Cross multiply
    57,815,712x = 89,574,768 × 89,574,768
  4. Step 4: Simplify right side
    57,815,712x = 8,023,639,062,253,824
  5. Step 5: Solve for x
    x = 8,023,639,062,253,824/57,815,712
  6. Step 6: Final answer
    x = 138,779,559.82

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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.