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Finding the Third Proportional to 29,913,102 and 65,067,264

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Solution

The third proportional to 29,913,102 and 65,067,264 is: 141,534,931.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913,102 : 65,067,264 = 65,067,264 : x
  2. Step 2: Convert to fraction form
    29,913,102/65,067,264 = 65,067,264/x
  3. Step 3: Cross multiply
    29,913,102x = 65,067,264 × 65,067,264
  4. Step 4: Simplify right side
    29,913,102x = 4,233,748,844,445,696
  5. Step 5: Solve for x
    x = 4,233,748,844,445,696/29,913,102
  6. Step 6: Final answer
    x = 141,534,931.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.