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Finding the Third Proportional to 2,996,407.69 and 6,497,020.13

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Solution

The third proportional to 2,996,407.69 and 6,497,020.13 is: 14,087,292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996,407.69 : 6,497,020.13 = 6,497,020.13 : x
  2. Step 2: Convert to fraction form
    2,996,407.69/6,497,020.13 = 6,497,020.13/x
  3. Step 3: Cross multiply
    2,996,407.69x = 6,497,020.13 × 6,497,020.13
  4. Step 4: Simplify right side
    2,996,407.69x = 42,211,270,504,655.02
  5. Step 5: Solve for x
    x = 42,211,270,504,655.02/2,996,407.69
  6. Step 6: Final answer
    x = 14,087,292.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.