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Finding the Third Proportional to 52,106,141 and 76,643,620

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Solution

The third proportional to 52,106,141 and 76,643,620 is: 112,736,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106,141 : 76,643,620 = 76,643,620 : x
  2. Step 2: Convert to fraction form
    52,106,141/76,643,620 = 76,643,620/x
  3. Step 3: Cross multiply
    52,106,141x = 76,643,620 × 76,643,620
  4. Step 4: Simplify right side
    52,106,141x = 5,874,244,486,704,400
  5. Step 5: Solve for x
    x = 5,874,244,486,704,400/52,106,141
  6. Step 6: Final answer
    x = 112,736,126.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.