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Finding the Third Proportional to 52,106,139 and 76,643,616.75

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Solution

The third proportional to 52,106,139 and 76,643,616.75 is: 112,736,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106,139 : 76,643,616.75 = 76,643,616.75 : x
  2. Step 2: Convert to fraction form
    52,106,139/76,643,616.75 = 76,643,616.75/x
  3. Step 3: Cross multiply
    52,106,139x = 76,643,616.75 × 76,643,616.75
  4. Step 4: Simplify right side
    52,106,139x = 5,874,243,988,520,881
  5. Step 5: Solve for x
    x = 5,874,243,988,520,881/52,106,139
  6. Step 6: Final answer
    x = 112,736,120.95

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