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Finding the Third Proportional to 9,732,854 and 21,004,569

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Solution

The third proportional to 9,732,854 and 21,004,569 is: 45,330,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732,854 : 21,004,569 = 21,004,569 : x
  2. Step 2: Convert to fraction form
    9,732,854/21,004,569 = 21,004,569/x
  3. Step 3: Cross multiply
    9,732,854x = 21,004,569 × 21,004,569
  4. Step 4: Simplify right side
    9,732,854x = 441,191,918,875,761
  5. Step 5: Solve for x
    x = 441,191,918,875,761/9,732,854
  6. Step 6: Final answer
    x = 45,330,169.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.