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Finding the Third Proportional to 31,473,133.88 and 67,729,237.88

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Solution

The third proportional to 31,473,133.88 and 67,729,237.88 is: 145,751,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,473,133.88 : 67,729,237.88 = 67,729,237.88 : x
  2. Step 2: Convert to fraction form
    31,473,133.88/67,729,237.88 = 67,729,237.88/x
  3. Step 3: Cross multiply
    31,473,133.88x = 67,729,237.88 × 67,729,237.88
  4. Step 4: Simplify right side
    31,473,133.88x = 4,587,249,663,128,335
  5. Step 5: Solve for x
    x = 4,587,249,663,128,335/31,473,133.88
  6. Step 6: Final answer
    x = 145,751,283.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.