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Finding the Third Proportional to 4,731,459 and 10,260,021

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Solution

The third proportional to 4,731,459 and 10,260,021 is: 22,248,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731,459 : 10,260,021 = 10,260,021 : x
  2. Step 2: Convert to fraction form
    4,731,459/10,260,021 = 10,260,021/x
  3. Step 3: Cross multiply
    4,731,459x = 10,260,021 × 10,260,021
  4. Step 4: Simplify right side
    4,731,459x = 105,268,030,920,441
  5. Step 5: Solve for x
    x = 105,268,030,920,441/4,731,459
  6. Step 6: Final answer
    x = 22,248,534.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.