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Finding the Third Proportional to 8,461,216 and 12,337,416

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Solution

The third proportional to 8,461,216 and 12,337,416 is: 17,989,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461,216 : 12,337,416 = 12,337,416 : x
  2. Step 2: Convert to fraction form
    8,461,216/12,337,416 = 12,337,416/x
  3. Step 3: Cross multiply
    8,461,216x = 12,337,416 × 12,337,416
  4. Step 4: Simplify right side
    8,461,216x = 152,211,833,557,056
  5. Step 5: Solve for x
    x = 152,211,833,557,056/8,461,216
  6. Step 6: Final answer
    x = 17,989,356.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.