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Finding the Third Proportional to 10,466,577 and 22,175,952

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Solution

The third proportional to 10,466,577 and 22,175,952 is: 46,985,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466,577 : 22,175,952 = 22,175,952 : x
  2. Step 2: Convert to fraction form
    10,466,577/22,175,952 = 22,175,952/x
  3. Step 3: Cross multiply
    10,466,577x = 22,175,952 × 22,175,952
  4. Step 4: Simplify right side
    10,466,577x = 491,772,847,106,304
  5. Step 5: Solve for x
    x = 491,772,847,106,304/10,466,577
  6. Step 6: Final answer
    x = 46,985,069.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.