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Finding the Third Proportional to 15,776,216 and 22,544,580

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Solution

The third proportional to 15,776,216 and 22,544,580 is: 32,216,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776,216 : 22,544,580 = 22,544,580 : x
  2. Step 2: Convert to fraction form
    15,776,216/22,544,580 = 22,544,580/x
  3. Step 3: Cross multiply
    15,776,216x = 22,544,580 × 22,544,580
  4. Step 4: Simplify right side
    15,776,216x = 508,258,087,376,400
  5. Step 5: Solve for x
    x = 508,258,087,376,400/15,776,216
  6. Step 6: Final answer
    x = 32,216,729.75

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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.