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Finding the Third Proportional to 31,854,547 and 49,190,036.50

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Solution

The third proportional to 31,854,547 and 49,190,036.50 is: 75,959,632.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854,547 : 49,190,036.50 = 49,190,036.50 : x
  2. Step 2: Convert to fraction form
    31,854,547/49,190,036.50 = 49,190,036.50/x
  3. Step 3: Cross multiply
    31,854,547x = 49,190,036.50 × 49,190,036.50
  4. Step 4: Simplify right side
    31,854,547x = 2,419,659,690,871,332
  5. Step 5: Solve for x
    x = 2,419,659,690,871,332/31,854,547
  6. Step 6: Final answer
    x = 75,959,632.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.