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Finding the Third Proportional to 7,051,510 and 15,828,716

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Solution

The third proportional to 7,051,510 and 15,828,716 is: 35,531,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051,510 : 15,828,716 = 15,828,716 : x
  2. Step 2: Convert to fraction form
    7,051,510/15,828,716 = 15,828,716/x
  3. Step 3: Cross multiply
    7,051,510x = 15,828,716 × 15,828,716
  4. Step 4: Simplify right side
    7,051,510x = 250,548,250,208,656
  5. Step 5: Solve for x
    x = 250,548,250,208,656/7,051,510
  6. Step 6: Final answer
    x = 35,531,148.68

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.