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Finding the Third Proportional to 65,240,038 and 103,645,787

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Solution

The third proportional to 65,240,038 and 103,645,787 is: 164,660,375.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,240,038 : 103,645,787 = 103,645,787 : x
  2. Step 2: Convert to fraction form
    65,240,038/103,645,787 = 103,645,787/x
  3. Step 3: Cross multiply
    65,240,038x = 103,645,787 × 103,645,787
  4. Step 4: Simplify right side
    65,240,038x = 10,742,449,162,849,368
  5. Step 5: Solve for x
    x = 10,742,449,162,849,368/65,240,038
  6. Step 6: Final answer
    x = 164,660,375.62

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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.