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Finding the Third Proportional to 9,658,560 and 13,070,624

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Solution

The third proportional to 9,658,560 and 13,070,624 is: 17,688,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658,560 : 13,070,624 = 13,070,624 : x
  2. Step 2: Convert to fraction form
    9,658,560/13,070,624 = 13,070,624/x
  3. Step 3: Cross multiply
    9,658,560x = 13,070,624 × 13,070,624
  4. Step 4: Simplify right side
    9,658,560x = 170,841,211,749,376
  5. Step 5: Solve for x
    x = 170,841,211,749,376/9,658,560
  6. Step 6: Final answer
    x = 17,688,062.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.