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Finding the Third Proportional to 2,433,191,319 and 4,995,373,447.13

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Solution

The third proportional to 2,433,191,319 and 4,995,373,447.13 is: 10,255,566,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433,191,319 : 4,995,373,447.13 = 4,995,373,447.13 : x
  2. Step 2: Convert to fraction form
    2,433,191,319/4,995,373,447.13 = 4,995,373,447.13/x
  3. Step 3: Cross multiply
    2,433,191,319x = 4,995,373,447.13 × 4,995,373,447.13
  4. Step 4: Simplify right side
    2,433,191,319x = 24,953,755,876,241,506,304
  5. Step 5: Solve for x
    x = 24,953,755,876,241,506,304/2,433,191,319
  6. Step 6: Final answer
    x = 10,255,566,704.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.