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Finding the Third Proportional to 2,842,970.25 and 6,711,288.38

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Solution

The third proportional to 2,842,970.25 and 6,711,288.38 is: 15,843,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842,970.25 : 6,711,288.38 = 6,711,288.38 : x
  2. Step 2: Convert to fraction form
    2,842,970.25/6,711,288.38 = 6,711,288.38/x
  3. Step 3: Cross multiply
    2,842,970.25x = 6,711,288.38 × 6,711,288.38
  4. Step 4: Simplify right side
    2,842,970.25x = 45,041,391,652,410.14
  5. Step 5: Solve for x
    x = 45,041,391,652,410.14/2,842,970.25
  6. Step 6: Final answer
    x = 15,843,075.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.