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Finding the Third Proportional to 9,982,848 and 21,478,854

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Solution

The third proportional to 9,982,848 and 21,478,854 is: 46,213,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,848 : 21,478,854 = 21,478,854 : x
  2. Step 2: Convert to fraction form
    9,982,848/21,478,854 = 21,478,854/x
  3. Step 3: Cross multiply
    9,982,848x = 21,478,854 × 21,478,854
  4. Step 4: Simplify right side
    9,982,848x = 461,341,169,153,316
  5. Step 5: Solve for x
    x = 461,341,169,153,316/9,982,848
  6. Step 6: Final answer
    x = 46,213,382.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.