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Finding the Third Proportional to 64,138,498 and 140,037,862

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Solution

The third proportional to 64,138,498 and 140,037,862 is: 305,754,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,138,498 : 140,037,862 = 140,037,862 : x
  2. Step 2: Convert to fraction form
    64,138,498/140,037,862 = 140,037,862/x
  3. Step 3: Cross multiply
    64,138,498x = 140,037,862 × 140,037,862
  4. Step 4: Simplify right side
    64,138,498x = 19,610,602,793,531,044
  5. Step 5: Solve for x
    x = 19,610,602,793,531,044/64,138,498
  6. Step 6: Final answer
    x = 305,754,007.42

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Why These Related Problems?

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