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Finding the Third Proportional to 345,574,201.50 and 761,587,432.50

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Solution

The third proportional to 345,574,201.50 and 761,587,432.50 is: 1,678,410,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,574,201.50 : 761,587,432.50 = 761,587,432.50 : x
  2. Step 2: Convert to fraction form
    345,574,201.50/761,587,432.50 = 761,587,432.50/x
  3. Step 3: Cross multiply
    345,574,201.50x = 761,587,432.50 × 761,587,432.50
  4. Step 4: Simplify right side
    345,574,201.50x = 580,015,417,341,942,016
  5. Step 5: Solve for x
    x = 580,015,417,341,942,016/345,574,201.50
  6. Step 6: Final answer
    x = 1,678,410,641.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.