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Finding the Third Proportional to 17,417,047 and 24,360,643

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Solution

The third proportional to 17,417,047 and 24,360,643 is: 34,072,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,417,047 : 24,360,643 = 24,360,643 : x
  2. Step 2: Convert to fraction form
    17,417,047/24,360,643 = 24,360,643/x
  3. Step 3: Cross multiply
    17,417,047x = 24,360,643 × 24,360,643
  4. Step 4: Simplify right side
    17,417,047x = 593,440,927,373,449
  5. Step 5: Solve for x
    x = 593,440,927,373,449/17,417,047
  6. Step 6: Final answer
    x = 34,072,419.24

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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.