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Finding the Third Proportional to 2,007,343,350 and 4,348,304,046

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Solution

The third proportional to 2,007,343,350 and 4,348,304,046 is: 9,419,289,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007,343,350 : 4,348,304,046 = 4,348,304,046 : x
  2. Step 2: Convert to fraction form
    2,007,343,350/4,348,304,046 = 4,348,304,046/x
  3. Step 3: Cross multiply
    2,007,343,350x = 4,348,304,046 × 4,348,304,046
  4. Step 4: Simplify right side
    2,007,343,350x = 18,907,748,076,459,970,560
  5. Step 5: Solve for x
    x = 18,907,748,076,459,970,560/2,007,343,350
  6. Step 6: Final answer
    x = 9,419,289,468.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.