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Finding the Third Proportional to 7,127,769 and 11,041,851

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Solution

The third proportional to 7,127,769 and 11,041,851 is: 17,105,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127,769 : 11,041,851 = 11,041,851 : x
  2. Step 2: Convert to fraction form
    7,127,769/11,041,851 = 11,041,851/x
  3. Step 3: Cross multiply
    7,127,769x = 11,041,851 × 11,041,851
  4. Step 4: Simplify right side
    7,127,769x = 121,922,473,506,201
  5. Step 5: Solve for x
    x = 121,922,473,506,201/7,127,769
  6. Step 6: Final answer
    x = 17,105,278.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.