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Finding the Third Proportional to 9,577,796 and 21,281,360

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Solution

The third proportional to 9,577,796 and 21,281,360 is: 47,286,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577,796 : 21,281,360 = 21,281,360 : x
  2. Step 2: Convert to fraction form
    9,577,796/21,281,360 = 21,281,360/x
  3. Step 3: Cross multiply
    9,577,796x = 21,281,360 × 21,281,360
  4. Step 4: Simplify right side
    9,577,796x = 452,896,283,449,600
  5. Step 5: Solve for x
    x = 452,896,283,449,600/9,577,796
  6. Step 6: Final answer
    x = 47,286,064.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.