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Finding the Third Proportional to 8,506,461 and 18,666,366

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Solution

The third proportional to 8,506,461 and 18,666,366 is: 40,961,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506,461 : 18,666,366 = 18,666,366 : x
  2. Step 2: Convert to fraction form
    8,506,461/18,666,366 = 18,666,366/x
  3. Step 3: Cross multiply
    8,506,461x = 18,666,366 × 18,666,366
  4. Step 4: Simplify right side
    8,506,461x = 348,433,219,645,956
  5. Step 5: Solve for x
    x = 348,433,219,645,956/8,506,461
  6. Step 6: Final answer
    x = 40,961,008.30

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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.