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Finding the Third Proportional to 2,972,124 and 6,513,816

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Solution

The third proportional to 2,972,124 and 6,513,816 is: 14,275,918.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972,124 : 6,513,816 = 6,513,816 : x
  2. Step 2: Convert to fraction form
    2,972,124/6,513,816 = 6,513,816/x
  3. Step 3: Cross multiply
    2,972,124x = 6,513,816 × 6,513,816
  4. Step 4: Simplify right side
    2,972,124x = 42,429,798,881,856
  5. Step 5: Solve for x
    x = 42,429,798,881,856/2,972,124
  6. Step 6: Final answer
    x = 14,275,918.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.