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Finding the Third Proportional to 2,230,798,566 and 3,374,888,899.50

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Solution

The third proportional to 2,230,798,566 and 3,374,888,899.50 is: 5,105,738,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230,798,566 : 3,374,888,899.50 = 3,374,888,899.50 : x
  2. Step 2: Convert to fraction form
    2,230,798,566/3,374,888,899.50 = 3,374,888,899.50/x
  3. Step 3: Cross multiply
    2,230,798,566x = 3,374,888,899.50 × 3,374,888,899.50
  4. Step 4: Simplify right side
    2,230,798,566x = 11,389,875,083,968,321,536
  5. Step 5: Solve for x
    x = 11,389,875,083,968,321,536/2,230,798,566
  6. Step 6: Final answer
    x = 5,105,738,930.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.