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Finding the Third Proportional to 5,631,984 and 8,070,624

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Solution

The third proportional to 5,631,984 and 8,070,624 is: 11,565,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631,984 : 8,070,624 = 8,070,624 : x
  2. Step 2: Convert to fraction form
    5,631,984/8,070,624 = 8,070,624/x
  3. Step 3: Cross multiply
    5,631,984x = 8,070,624 × 8,070,624
  4. Step 4: Simplify right side
    5,631,984x = 65,134,971,749,376
  5. Step 5: Solve for x
    x = 65,134,971,749,376/5,631,984
  6. Step 6: Final answer
    x = 11,565,191.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.