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Finding the Third Proportional to 5,470,698 and 12,663,686

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Solution

The third proportional to 5,470,698 and 12,663,686 is: 29,314,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,698 : 12,663,686 = 12,663,686 : x
  2. Step 2: Convert to fraction form
    5,470,698/12,663,686 = 12,663,686/x
  3. Step 3: Cross multiply
    5,470,698x = 12,663,686 × 12,663,686
  4. Step 4: Simplify right side
    5,470,698x = 160,368,943,106,596
  5. Step 5: Solve for x
    x = 160,368,943,106,596/5,470,698
  6. Step 6: Final answer
    x = 29,314,164.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.