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Finding the Third Proportional to 63,975,786 and 138,145,824

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Solution

The third proportional to 63,975,786 and 138,145,824 is: 298,304,559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,975,786 : 138,145,824 = 138,145,824 : x
  2. Step 2: Convert to fraction form
    63,975,786/138,145,824 = 138,145,824/x
  3. Step 3: Cross multiply
    63,975,786x = 138,145,824 × 138,145,824
  4. Step 4: Simplify right side
    63,975,786x = 19,084,268,688,638,976
  5. Step 5: Solve for x
    x = 19,084,268,688,638,976/63,975,786
  6. Step 6: Final answer
    x = 298,304,559.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.