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Finding the Third Proportional to 9,924,020 and 21,368,597

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Solution

The third proportional to 9,924,020 and 21,368,597 is: 46,011,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924,020 : 21,368,597 = 21,368,597 : x
  2. Step 2: Convert to fraction form
    9,924,020/21,368,597 = 21,368,597/x
  3. Step 3: Cross multiply
    9,924,020x = 21,368,597 × 21,368,597
  4. Step 4: Simplify right side
    9,924,020x = 456,616,937,748,409
  5. Step 5: Solve for x
    x = 456,616,937,748,409/9,924,020
  6. Step 6: Final answer
    x = 46,011,287.54

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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.