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Finding the Third Proportional to 2,838,802.89 and 6,227,206.28

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Solution

The third proportional to 2,838,802.89 and 6,227,206.28 is: 13,660,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838,802.89 : 6,227,206.28 = 6,227,206.28 : x
  2. Step 2: Convert to fraction form
    2,838,802.89/6,227,206.28 = 6,227,206.28/x
  3. Step 3: Cross multiply
    2,838,802.89x = 6,227,206.28 × 6,227,206.28
  4. Step 4: Simplify right side
    2,838,802.89x = 38,778,098,020,590.03
  5. Step 5: Solve for x
    x = 38,778,098,020,590.03/2,838,802.89
  6. Step 6: Final answer
    x = 13,660,017.82

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Why These Related Problems?

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