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Finding the Third Proportional to 31,117,273.88 and 45,666,979.88

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Solution

The third proportional to 31,117,273.88 and 45,666,979.88 is: 67,019,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,117,273.88 : 45,666,979.88 = 45,666,979.88 : x
  2. Step 2: Convert to fraction form
    31,117,273.88/45,666,979.88 = 45,666,979.88/x
  3. Step 3: Cross multiply
    31,117,273.88x = 45,666,979.88 × 45,666,979.88
  4. Step 4: Simplify right side
    31,117,273.88x = 2,085,473,050,903,655
  5. Step 5: Solve for x
    x = 2,085,473,050,903,655/31,117,273.88
  6. Step 6: Final answer
    x = 67,019,786.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.