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Finding the Third Proportional to 7,314,541,353 and 16,026,506,766

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Solution

The third proportional to 7,314,541,353 and 16,026,506,766 is: 35,114,835,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314,541,353 : 16,026,506,766 = 16,026,506,766 : x
  2. Step 2: Convert to fraction form
    7,314,541,353/16,026,506,766 = 16,026,506,766/x
  3. Step 3: Cross multiply
    7,314,541,353x = 16,026,506,766 × 16,026,506,766
  4. Step 4: Simplify right side
    7,314,541,353x = 256,848,919,120,643,784,704
  5. Step 5: Solve for x
    x = 256,848,919,120,643,784,704/7,314,541,353
  6. Step 6: Final answer
    x = 35,114,835,876.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.