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Finding the Third Proportional to 5,766,936,718 and 8,933,742,213

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Solution

The third proportional to 5,766,936,718 and 8,933,742,213 is: 13,839,539,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766,936,718 : 8,933,742,213 = 8,933,742,213 : x
  2. Step 2: Convert to fraction form
    5,766,936,718/8,933,742,213 = 8,933,742,213/x
  3. Step 3: Cross multiply
    5,766,936,718x = 8,933,742,213 × 8,933,742,213
  4. Step 4: Simplify right side
    5,766,936,718x = 79,811,749,928,338,145,280
  5. Step 5: Solve for x
    x = 79,811,749,928,338,145,280/5,766,936,718
  6. Step 6: Final answer
    x = 13,839,539,747.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.