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Finding the Third Proportional to 2,648,701 and 5,658,711

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Solution

The third proportional to 2,648,701 and 5,658,711 is: 12,089,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,701 : 5,658,711 = 5,658,711 : x
  2. Step 2: Convert to fraction form
    2,648,701/5,658,711 = 5,658,711/x
  3. Step 3: Cross multiply
    2,648,701x = 5,658,711 × 5,658,711
  4. Step 4: Simplify right side
    2,648,701x = 32,021,010,181,521
  5. Step 5: Solve for x
    x = 32,021,010,181,521/2,648,701
  6. Step 6: Final answer
    x = 12,089,326.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.