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Finding the Third Proportional to 29,790,214 and 64,283,124

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Solution

The third proportional to 29,790,214 and 64,283,124 is: 138,714,009.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,790,214 : 64,283,124 = 64,283,124 : x
  2. Step 2: Convert to fraction form
    29,790,214/64,283,124 = 64,283,124/x
  3. Step 3: Cross multiply
    29,790,214x = 64,283,124 × 64,283,124
  4. Step 4: Simplify right side
    29,790,214x = 4,132,320,031,199,376
  5. Step 5: Solve for x
    x = 4,132,320,031,199,376/29,790,214
  6. Step 6: Final answer
    x = 138,714,009.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.