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Finding the Third Proportional to 30,785,635.13 and 66,929,830.31

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Solution

The third proportional to 30,785,635.13 and 66,929,830.31 is: 145,509,493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785,635.13 : 66,929,830.31 = 66,929,830.31 : x
  2. Step 2: Convert to fraction form
    30,785,635.13/66,929,830.31 = 66,929,830.31/x
  3. Step 3: Cross multiply
    30,785,635.13x = 66,929,830.31 × 66,929,830.31
  4. Step 4: Simplify right side
    30,785,635.13x = 4,479,602,185,660,044
  5. Step 5: Solve for x
    x = 4,479,602,185,660,044/30,785,635.13
  6. Step 6: Final answer
    x = 145,509,493.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.