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Finding the Third Proportional to 5,306,547 and 8,416,233

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Solution

The third proportional to 5,306,547 and 8,416,233 is: 13,348,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306,547 : 8,416,233 = 8,416,233 : x
  2. Step 2: Convert to fraction form
    5,306,547/8,416,233 = 8,416,233/x
  3. Step 3: Cross multiply
    5,306,547x = 8,416,233 × 8,416,233
  4. Step 4: Simplify right side
    5,306,547x = 70,832,977,910,289
  5. Step 5: Solve for x
    x = 70,832,977,910,289/5,306,547
  6. Step 6: Final answer
    x = 13,348,223.98

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.