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Finding the Third Proportional to 5,034,490,988 and 7,897,630,671

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Solution

The third proportional to 5,034,490,988 and 7,897,630,671 is: 12,389,051,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034,490,988 : 7,897,630,671 = 7,897,630,671 : x
  2. Step 2: Convert to fraction form
    5,034,490,988/7,897,630,671 = 7,897,630,671/x
  3. Step 3: Cross multiply
    5,034,490,988x = 7,897,630,671 × 7,897,630,671
  4. Step 4: Simplify right side
    5,034,490,988x = 62,372,570,215,519,911,936
  5. Step 5: Solve for x
    x = 62,372,570,215,519,911,936/5,034,490,988
  6. Step 6: Final answer
    x = 12,389,051,914.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.