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Finding the Third Proportional to 52,106,157 and 76,643,637

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Solution

The third proportional to 52,106,157 and 76,643,637 is: 112,736,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106,157 : 76,643,637 = 76,643,637 : x
  2. Step 2: Convert to fraction form
    52,106,157/76,643,637 = 76,643,637/x
  3. Step 3: Cross multiply
    52,106,157x = 76,643,637 × 76,643,637
  4. Step 4: Simplify right side
    52,106,157x = 5,874,247,092,587,769
  5. Step 5: Solve for x
    x = 5,874,247,092,587,769/52,106,157
  6. Step 6: Final answer
    x = 112,736,141.58

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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.