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Finding the Third Proportional to 241,428,076 and 382,919,878

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Solution

The third proportional to 241,428,076 and 382,919,878 is: 607,334,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,428,076 : 382,919,878 = 382,919,878 : x
  2. Step 2: Convert to fraction form
    241,428,076/382,919,878 = 382,919,878/x
  3. Step 3: Cross multiply
    241,428,076x = 382,919,878 × 382,919,878
  4. Step 4: Simplify right side
    241,428,076x = 146,627,632,967,534,880
  5. Step 5: Solve for x
    x = 146,627,632,967,534,880/241,428,076
  6. Step 6: Final answer
    x = 607,334,637.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.