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Finding the Third Proportional to 32,555,298,628.50 and 67,785,978,648

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Solution

The third proportional to 32,555,298,628.50 and 67,785,978,648 is: 141,142,581,848.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,555,298,628.50 : 67,785,978,648 = 67,785,978,648 : x
  2. Step 2: Convert to fraction form
    32,555,298,628.50/67,785,978,648 = 67,785,978,648/x
  3. Step 3: Cross multiply
    32,555,298,628.50x = 67,785,978,648 × 67,785,978,648
  4. Step 4: Simplify right side
    32,555,298,628.50x = 4,594,938,901,267,112,001,536
  5. Step 5: Solve for x
    x = 4,594,938,901,267,112,001,536/32,555,298,628.50
  6. Step 6: Final answer
    x = 141,142,581,848.25

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.