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Finding the Third Proportional to 29,790,216 and 64,283,128

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Solution

The third proportional to 29,790,216 and 64,283,128 is: 138,714,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,790,216 : 64,283,128 = 64,283,128 : x
  2. Step 2: Convert to fraction form
    29,790,216/64,283,128 = 64,283,128/x
  3. Step 3: Cross multiply
    29,790,216x = 64,283,128 × 64,283,128
  4. Step 4: Simplify right side
    29,790,216x = 4,132,320,545,464,384
  5. Step 5: Solve for x
    x = 4,132,320,545,464,384/29,790,216
  6. Step 6: Final answer
    x = 138,714,017.56

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Why These Related Problems?

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