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Finding the Third Proportional to 6,841,428 and 14,873,644

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Solution

The third proportional to 6,841,428 and 14,873,644 is: 32,336,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841,428 : 14,873,644 = 14,873,644 : x
  2. Step 2: Convert to fraction form
    6,841,428/14,873,644 = 14,873,644/x
  3. Step 3: Cross multiply
    6,841,428x = 14,873,644 × 14,873,644
  4. Step 4: Simplify right side
    6,841,428x = 221,225,285,838,736
  5. Step 5: Solve for x
    x = 221,225,285,838,736/6,841,428
  6. Step 6: Final answer
    x = 32,336,127.17

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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.