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Finding the Third Proportional to 9,700,301.81 and 13,487,358.09

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Solution

The third proportional to 9,700,301.81 and 13,487,358.09 is: 18,752,903.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700,301.81 : 13,487,358.09 = 13,487,358.09 : x
  2. Step 2: Convert to fraction form
    9,700,301.81/13,487,358.09 = 13,487,358.09/x
  3. Step 3: Cross multiply
    9,700,301.81x = 13,487,358.09 × 13,487,358.09
  4. Step 4: Simplify right side
    9,700,301.81x = 181,908,828,349,043.62
  5. Step 5: Solve for x
    x = 181,908,828,349,043.62/9,700,301.81
  6. Step 6: Final answer
    x = 18,752,903.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.