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Finding the Third Proportional to 6,547,513.50 and 14,140,413

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Solution

The third proportional to 6,547,513.50 and 14,140,413 is: 30,538,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547,513.50 : 14,140,413 = 14,140,413 : x
  2. Step 2: Convert to fraction form
    6,547,513.50/14,140,413 = 14,140,413/x
  3. Step 3: Cross multiply
    6,547,513.50x = 14,140,413 × 14,140,413
  4. Step 4: Simplify right side
    6,547,513.50x = 199,951,279,810,569
  5. Step 5: Solve for x
    x = 199,951,279,810,569/6,547,513.50
  6. Step 6: Final answer
    x = 30,538,505.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.