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Finding the Third Proportional to 9,969,924 and 21,689,448

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Solution

The third proportional to 9,969,924 and 21,689,448 is: 47,185,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969,924 : 21,689,448 = 21,689,448 : x
  2. Step 2: Convert to fraction form
    9,969,924/21,689,448 = 21,689,448/x
  3. Step 3: Cross multiply
    9,969,924x = 21,689,448 × 21,689,448
  4. Step 4: Simplify right side
    9,969,924x = 470,432,154,544,704
  5. Step 5: Solve for x
    x = 470,432,154,544,704/9,969,924
  6. Step 6: Final answer
    x = 47,185,129.45

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