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Finding the Third Proportional to 2,021,127,727 and 4,398,151,004

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Solution

The third proportional to 2,021,127,727 and 4,398,151,004 is: 9,570,761,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,127,727 : 4,398,151,004 = 4,398,151,004 : x
  2. Step 2: Convert to fraction form
    2,021,127,727/4,398,151,004 = 4,398,151,004/x
  3. Step 3: Cross multiply
    2,021,127,727x = 4,398,151,004 × 4,398,151,004
  4. Step 4: Simplify right side
    2,021,127,727x = 19,343,732,253,986,209,792
  5. Step 5: Solve for x
    x = 19,343,732,253,986,209,792/2,021,127,727
  6. Step 6: Final answer
    x = 9,570,761,904.64

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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.