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Finding the Third Proportional to 2,021,127,863 and 4,398,151,282

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Solution

The third proportional to 2,021,127,863 and 4,398,151,282 is: 9,570,762,470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,127,863 : 4,398,151,282 = 4,398,151,282 : x
  2. Step 2: Convert to fraction form
    2,021,127,863/4,398,151,282 = 4,398,151,282/x
  3. Step 3: Cross multiply
    2,021,127,863x = 4,398,151,282 × 4,398,151,282
  4. Step 4: Simplify right side
    2,021,127,863x = 19,343,734,699,358,244,864
  5. Step 5: Solve for x
    x = 19,343,734,699,358,244,864/2,021,127,863
  6. Step 6: Final answer
    x = 9,570,762,470.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.