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Finding the Third Proportional to 34,538,167.13 and 75,565,558.13

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Solution

The third proportional to 34,538,167.13 and 75,565,558.13 is: 165,328,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,538,167.13 : 75,565,558.13 = 75,565,558.13 : x
  2. Step 2: Convert to fraction form
    34,538,167.13/75,565,558.13 = 75,565,558.13/x
  3. Step 3: Cross multiply
    34,538,167.13x = 75,565,558.13 × 75,565,558.13
  4. Step 4: Simplify right side
    34,538,167.13x = 5,710,153,574,742,754
  5. Step 5: Solve for x
    x = 5,710,153,574,742,754/34,538,167.13
  6. Step 6: Final answer
    x = 165,328,795.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.