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Finding the Third Proportional to 491,134,034,246 and 1,068,750,687,590

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Solution

The third proportional to 491,134,034,246 and 1,068,750,687,590 is: 2,325,695,131,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,134,034,246 : 1,068,750,687,590 = 1,068,750,687,590 : x
  2. Step 2: Convert to fraction form
    491,134,034,246/1,068,750,687,590 = 1,068,750,687,590/x
  3. Step 3: Cross multiply
    491,134,034,246x = 1,068,750,687,590 × 1,068,750,687,590
  4. Step 4: Simplify right side
    491,134,034,246x = 1,142,228,032,224,097,776,697,344
  5. Step 5: Solve for x
    x = 1,142,228,032,224,097,776,697,344/491,134,034,246
  6. Step 6: Final answer
    x = 2,325,695,131,223.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.