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Finding the Third Proportional to 2,891,664 and 6,281,816

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Solution

The third proportional to 2,891,664 and 6,281,816 is: 13,646,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891,664 : 6,281,816 = 6,281,816 : x
  2. Step 2: Convert to fraction form
    2,891,664/6,281,816 = 6,281,816/x
  3. Step 3: Cross multiply
    2,891,664x = 6,281,816 × 6,281,816
  4. Step 4: Simplify right side
    2,891,664x = 39,461,212,257,856
  5. Step 5: Solve for x
    x = 39,461,212,257,856/2,891,664
  6. Step 6: Final answer
    x = 13,646,541.32

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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.