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Finding the Third Proportional to 3,194,766,651,423 and 6,478,431,416,681

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Solution

The third proportional to 3,194,766,651,423 and 6,478,431,416,681 is: 13,137,132,754,890.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,766,651,423 : 6,478,431,416,681 = 6,478,431,416,681 : x
  2. Step 2: Convert to fraction form
    3,194,766,651,423/6,478,431,416,681 = 6,478,431,416,681/x
  3. Step 3: Cross multiply
    3,194,766,651,423x = 6,478,431,416,681 × 6,478,431,416,681
  4. Step 4: Simplify right side
    3,194,766,651,423x = 41,970,073,620,639,391,252,742,144
  5. Step 5: Solve for x
    x = 41,970,073,620,639,391,252,742,144/3,194,766,651,423
  6. Step 6: Final answer
    x = 13,137,132,754,890.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.