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Finding the Third Proportional to 3,915,543,112 and 6,210,294,462

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Solution

The third proportional to 3,915,543,112 and 6,210,294,462 is: 9,849,912,566.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915,543,112 : 6,210,294,462 = 6,210,294,462 : x
  2. Step 2: Convert to fraction form
    3,915,543,112/6,210,294,462 = 6,210,294,462/x
  3. Step 3: Cross multiply
    3,915,543,112x = 6,210,294,462 × 6,210,294,462
  4. Step 4: Simplify right side
    3,915,543,112x = 38,567,757,304,747,868,160
  5. Step 5: Solve for x
    x = 38,567,757,304,747,868,160/3,915,543,112
  6. Step 6: Final answer
    x = 9,849,912,566.80

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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.