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Finding the Third Proportional to 6,547,500 and 14,228,352

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Solution

The third proportional to 6,547,500 and 14,228,352 is: 30,919,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547,500 : 14,228,352 = 14,228,352 : x
  2. Step 2: Convert to fraction form
    6,547,500/14,228,352 = 14,228,352/x
  3. Step 3: Cross multiply
    6,547,500x = 14,228,352 × 14,228,352
  4. Step 4: Simplify right side
    6,547,500x = 202,446,000,635,904
  5. Step 5: Solve for x
    x = 202,446,000,635,904/6,547,500
  6. Step 6: Final answer
    x = 30,919,587.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.