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Finding the Third Proportional to 14,278,807.69 and 21,753,005.06

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Solution

The third proportional to 14,278,807.69 and 21,753,005.06 is: 33,139,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278,807.69 : 21,753,005.06 = 21,753,005.06 : x
  2. Step 2: Convert to fraction form
    14,278,807.69/21,753,005.06 = 21,753,005.06/x
  3. Step 3: Cross multiply
    14,278,807.69x = 21,753,005.06 × 21,753,005.06
  4. Step 4: Simplify right side
    14,278,807.69x = 473,193,229,249,150.62
  5. Step 5: Solve for x
    x = 473,193,229,249,150.62/14,278,807.69
  6. Step 6: Final answer
    x = 33,139,547.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.