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Finding the Third Proportional to 54,508,768.07 and 83,783,752.15

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Solution

The third proportional to 54,508,768.07 and 83,783,752.15 is: 128,781,430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,508,768.07 : 83,783,752.15 = 83,783,752.15 : x
  2. Step 2: Convert to fraction form
    54,508,768.07/83,783,752.15 = 83,783,752.15/x
  3. Step 3: Cross multiply
    54,508,768.07x = 83,783,752.15 × 83,783,752.15
  4. Step 4: Simplify right side
    54,508,768.07x = 7,019,717,125,052,332
  5. Step 5: Solve for x
    x = 7,019,717,125,052,332/54,508,768.07
  6. Step 6: Final answer
    x = 128,781,430.48

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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.