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Finding the Third Proportional to 4,677,321 and 6,996,909

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Solution

The third proportional to 4,677,321 and 6,996,909 is: 10,466,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677,321 : 6,996,909 = 6,996,909 : x
  2. Step 2: Convert to fraction form
    4,677,321/6,996,909 = 6,996,909/x
  3. Step 3: Cross multiply
    4,677,321x = 6,996,909 × 6,996,909
  4. Step 4: Simplify right side
    4,677,321x = 48,956,735,554,281
  5. Step 5: Solve for x
    x = 48,956,735,554,281/4,677,321
  6. Step 6: Final answer
    x = 10,466,832.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.