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Finding the Third Proportional to 3,278,894,160 and 5,036,740,776

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Solution

The third proportional to 3,278,894,160 and 5,036,740,776 is: 7,736,985,827.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278,894,160 : 5,036,740,776 = 5,036,740,776 : x
  2. Step 2: Convert to fraction form
    3,278,894,160/5,036,740,776 = 5,036,740,776/x
  3. Step 3: Cross multiply
    3,278,894,160x = 5,036,740,776 × 5,036,740,776
  4. Step 4: Simplify right side
    3,278,894,160x = 25,368,757,644,621,082,624
  5. Step 5: Solve for x
    x = 25,368,757,644,621,082,624/3,278,894,160
  6. Step 6: Final answer
    x = 7,736,985,827.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.