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Finding the Third Proportional to 8,506,769 and 18,666,911

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Solution

The third proportional to 8,506,769 and 18,666,911 is: 40,961,917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506,769 : 18,666,911 = 18,666,911 : x
  2. Step 2: Convert to fraction form
    8,506,769/18,666,911 = 18,666,911/x
  3. Step 3: Cross multiply
    8,506,769x = 18,666,911 × 18,666,911
  4. Step 4: Simplify right side
    8,506,769x = 348,453,566,281,921
  5. Step 5: Solve for x
    x = 348,453,566,281,921/8,506,769
  6. Step 6: Final answer
    x = 40,961,917.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.