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Finding the Third Proportional to 11,217,000,678 and 24,224,973,758

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Solution

The third proportional to 11,217,000,678 and 24,224,973,758 is: 52,317,849,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,217,000,678 : 24,224,973,758 = 24,224,973,758 : x
  2. Step 2: Convert to fraction form
    11,217,000,678/24,224,973,758 = 24,224,973,758/x
  3. Step 3: Cross multiply
    11,217,000,678x = 24,224,973,758 × 24,224,973,758
  4. Step 4: Simplify right side
    11,217,000,678x = 586,849,353,575,788,642,304
  5. Step 5: Solve for x
    x = 586,849,353,575,788,642,304/11,217,000,678
  6. Step 6: Final answer
    x = 52,317,849,523.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.