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Finding the Third Proportional to 340,699,779.75 and 739,546,030.50

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Solution

The third proportional to 340,699,779.75 and 739,546,030.50 is: 1,605,308,731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,699,779.75 : 739,546,030.50 = 739,546,030.50 : x
  2. Step 2: Convert to fraction form
    340,699,779.75/739,546,030.50 = 739,546,030.50/x
  3. Step 3: Cross multiply
    340,699,779.75x = 739,546,030.50 × 739,546,030.50
  4. Step 4: Simplify right side
    340,699,779.75x = 546,928,331,228,306,944
  5. Step 5: Solve for x
    x = 546,928,331,228,306,944/340,699,779.75
  6. Step 6: Final answer
    x = 1,605,308,731.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.