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Finding the Third Proportional to 11,217,000,681 and 24,224,973,762

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Solution

The third proportional to 11,217,000,681 and 24,224,973,762 is: 52,317,849,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,217,000,681 : 24,224,973,762 = 24,224,973,762 : x
  2. Step 2: Convert to fraction form
    11,217,000,681/24,224,973,762 = 24,224,973,762/x
  3. Step 3: Cross multiply
    11,217,000,681x = 24,224,973,762 × 24,224,973,762
  4. Step 4: Simplify right side
    11,217,000,681x = 586,849,353,769,588,424,704
  5. Step 5: Solve for x
    x = 586,849,353,769,588,424,704/11,217,000,681
  6. Step 6: Final answer
    x = 52,317,849,526.71

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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.