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Finding the Third Proportional to 9,829,300 and 15,385,628

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Solution

The third proportional to 9,829,300 and 15,385,628 is: 24,082,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,300 : 15,385,628 = 15,385,628 : x
  2. Step 2: Convert to fraction form
    9,829,300/15,385,628 = 15,385,628/x
  3. Step 3: Cross multiply
    9,829,300x = 15,385,628 × 15,385,628
  4. Step 4: Simplify right side
    9,829,300x = 236,717,548,954,384
  5. Step 5: Solve for x
    x = 236,717,548,954,384/9,829,300
  6. Step 6: Final answer
    x = 24,082,849.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.