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Finding the Third Proportional to 9,924,013.69 and 21,368,584.69

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Solution

The third proportional to 9,924,013.69 and 21,368,584.69 is: 46,011,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924,013.69 : 21,368,584.69 = 21,368,584.69 : x
  2. Step 2: Convert to fraction form
    9,924,013.69/21,368,584.69 = 21,368,584.69/x
  3. Step 3: Cross multiply
    9,924,013.69x = 21,368,584.69 × 21,368,584.69
  4. Step 4: Simplify right side
    9,924,013.69x = 456,616,411,546,859.50
  5. Step 5: Solve for x
    x = 456,616,411,546,859.50/9,924,013.69
  6. Step 6: Final answer
    x = 46,011,263.78

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