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Finding the Third Proportional to 6,293,403,259.03 and 9,437,793,947.16

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Solution

The third proportional to 6,293,403,259.03 and 9,437,793,947.16 is: 14,153,225,357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293,403,259.03 : 9,437,793,947.16 = 9,437,793,947.16 : x
  2. Step 2: Convert to fraction form
    6,293,403,259.03/9,437,793,947.16 = 9,437,793,947.16/x
  3. Step 3: Cross multiply
    6,293,403,259.03x = 9,437,793,947.16 × 9,437,793,947.16
  4. Step 4: Simplify right side
    6,293,403,259.03x = 89,071,954,588,970,647,552
  5. Step 5: Solve for x
    x = 89,071,954,588,970,647,552/6,293,403,259.03
  6. Step 6: Final answer
    x = 14,153,225,357.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.