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Finding the Third Proportional to 9,051,577 and 19,697,216

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Solution

The third proportional to 9,051,577 and 19,697,216 is: 42,863,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051,577 : 19,697,216 = 19,697,216 : x
  2. Step 2: Convert to fraction form
    9,051,577/19,697,216 = 19,697,216/x
  3. Step 3: Cross multiply
    9,051,577x = 19,697,216 × 19,697,216
  4. Step 4: Simplify right side
    9,051,577x = 387,980,318,150,656
  5. Step 5: Solve for x
    x = 387,980,318,150,656/9,051,577
  6. Step 6: Final answer
    x = 42,863,284.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.