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Finding the Third Proportional to 17,417,051 and 24,360,649

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Solution

The third proportional to 17,417,051 and 24,360,649 is: 34,072,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,417,051 : 24,360,649 = 24,360,649 : x
  2. Step 2: Convert to fraction form
    17,417,051/24,360,649 = 24,360,649/x
  3. Step 3: Cross multiply
    17,417,051x = 24,360,649 × 24,360,649
  4. Step 4: Simplify right side
    17,417,051x = 593,441,219,701,201
  5. Step 5: Solve for x
    x = 593,441,219,701,201/17,417,051
  6. Step 6: Final answer
    x = 34,072,428.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.