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Finding the Third Proportional to 2,702,390,100 and 5,819,435,400

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Solution

The third proportional to 2,702,390,100 and 5,819,435,400 is: 12,531,805,964.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702,390,100 : 5,819,435,400 = 5,819,435,400 : x
  2. Step 2: Convert to fraction form
    2,702,390,100/5,819,435,400 = 5,819,435,400/x
  3. Step 3: Cross multiply
    2,702,390,100x = 5,819,435,400 × 5,819,435,400
  4. Step 4: Simplify right side
    2,702,390,100x = 33,865,828,374,773,161,984
  5. Step 5: Solve for x
    x = 33,865,828,374,773,161,984/2,702,390,100
  6. Step 6: Final answer
    x = 12,531,805,964.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.