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Finding the Third Proportional to 68,935,952 and 106,742,584

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Solution

The third proportional to 68,935,952 and 106,742,584 is: 165,283,555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,935,952 : 106,742,584 = 106,742,584 : x
  2. Step 2: Convert to fraction form
    68,935,952/106,742,584 = 106,742,584/x
  3. Step 3: Cross multiply
    68,935,952x = 106,742,584 × 106,742,584
  4. Step 4: Simplify right side
    68,935,952x = 11,393,979,238,997,056
  5. Step 5: Solve for x
    x = 11,393,979,238,997,056/68,935,952
  6. Step 6: Final answer
    x = 165,283,555.36

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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.