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Finding the Third Proportional to 2,407,120,839 and 5,241,576,973.50

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Solution

The third proportional to 2,407,120,839 and 5,241,576,973.50 is: 11,413,689,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407,120,839 : 5,241,576,973.50 = 5,241,576,973.50 : x
  2. Step 2: Convert to fraction form
    2,407,120,839/5,241,576,973.50 = 5,241,576,973.50/x
  3. Step 3: Cross multiply
    2,407,120,839x = 5,241,576,973.50 × 5,241,576,973.50
  4. Step 4: Simplify right side
    2,407,120,839x = 27,474,129,169,125,421,056
  5. Step 5: Solve for x
    x = 27,474,129,169,125,421,056/2,407,120,839
  6. Step 6: Final answer
    x = 11,413,689,219.08

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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.