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Finding the Third Proportional to 5,034,490,864 and 7,897,630,596

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Solution

The third proportional to 5,034,490,864 and 7,897,630,596 is: 12,389,051,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034,490,864 : 7,897,630,596 = 7,897,630,596 : x
  2. Step 2: Convert to fraction form
    5,034,490,864/7,897,630,596 = 7,897,630,596/x
  3. Step 3: Cross multiply
    5,034,490,864x = 7,897,630,596 × 7,897,630,596
  4. Step 4: Simplify right side
    5,034,490,864x = 62,372,569,030,875,316,224
  5. Step 5: Solve for x
    x = 62,372,569,030,875,316,224/5,034,490,864
  6. Step 6: Final answer
    x = 12,389,051,984.76

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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.