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Finding the Third Proportional to 971,633,589.75 and 2,098,092,506.63

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Solution

The third proportional to 971,633,589.75 and 2,098,092,506.63 is: 4,530,506,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,633,589.75 : 2,098,092,506.63 = 2,098,092,506.63 : x
  2. Step 2: Convert to fraction form
    971,633,589.75/2,098,092,506.63 = 2,098,092,506.63/x
  3. Step 3: Cross multiply
    971,633,589.75x = 2,098,092,506.63 × 2,098,092,506.63
  4. Step 4: Simplify right side
    971,633,589.75x = 4,401,992,166,355,975,680
  5. Step 5: Solve for x
    x = 4,401,992,166,355,975,680/971,633,589.75
  6. Step 6: Final answer
    x = 4,530,506,368.65

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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.