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Finding the Third Proportional to 52,097,501 and 76,585,462

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Solution

The third proportional to 52,097,501 and 76,585,462 is: 112,583,768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,097,501 : 76,585,462 = 76,585,462 : x
  2. Step 2: Convert to fraction form
    52,097,501/76,585,462 = 76,585,462/x
  3. Step 3: Cross multiply
    52,097,501x = 76,585,462 × 76,585,462
  4. Step 4: Simplify right side
    52,097,501x = 5,865,332,989,753,444
  5. Step 5: Solve for x
    x = 5,865,332,989,753,444/52,097,501
  6. Step 6: Final answer
    x = 112,583,768.46

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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.