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Finding the Third Proportional to 9,011,930.91 and 13,963,182.47

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Solution

The third proportional to 9,011,930.91 and 13,963,182.47 is: 21,634,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011,930.91 : 13,963,182.47 = 13,963,182.47 : x
  2. Step 2: Convert to fraction form
    9,011,930.91/13,963,182.47 = 13,963,182.47/x
  3. Step 3: Cross multiply
    9,011,930.91x = 13,963,182.47 × 13,963,182.47
  4. Step 4: Simplify right side
    9,011,930.91x = 194,970,464,655,607.34
  5. Step 5: Solve for x
    x = 194,970,464,655,607.34/9,011,930.91
  6. Step 6: Final answer
    x = 21,634,704.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.