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Finding the Third Proportional to 35,812,076 and 76,729,412

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Solution

The third proportional to 35,812,076 and 76,729,412 is: 164,397,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812,076 : 76,729,412 = 76,729,412 : x
  2. Step 2: Convert to fraction form
    35,812,076/76,729,412 = 76,729,412/x
  3. Step 3: Cross multiply
    35,812,076x = 76,729,412 × 76,729,412
  4. Step 4: Simplify right side
    35,812,076x = 5,887,402,665,865,744
  5. Step 5: Solve for x
    x = 5,887,402,665,865,744/35,812,076
  6. Step 6: Final answer
    x = 164,397,134.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.