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Finding the Third Proportional to 65,240,017 and 103,645,754

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Solution

The third proportional to 65,240,017 and 103,645,754 is: 164,660,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,240,017 : 103,645,754 = 103,645,754 : x
  2. Step 2: Convert to fraction form
    65,240,017/103,645,754 = 103,645,754/x
  3. Step 3: Cross multiply
    65,240,017x = 103,645,754 × 103,645,754
  4. Step 4: Simplify right side
    65,240,017x = 10,742,442,322,228,516
  5. Step 5: Solve for x
    x = 10,742,442,322,228,516/65,240,017
  6. Step 6: Final answer
    x = 164,660,323.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.