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Finding the Third Proportional to 9,966,580 and 15,151,416

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Solution

The third proportional to 9,966,580 and 15,151,416 is: 23,033,518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966,580 : 15,151,416 = 15,151,416 : x
  2. Step 2: Convert to fraction form
    9,966,580/15,151,416 = 15,151,416/x
  3. Step 3: Cross multiply
    9,966,580x = 15,151,416 × 15,151,416
  4. Step 4: Simplify right side
    9,966,580x = 229,565,406,805,056
  5. Step 5: Solve for x
    x = 229,565,406,805,056/9,966,580
  6. Step 6: Final answer
    x = 23,033,518.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.