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Finding the Third Proportional to 272,030,647.50 and 590,246,835.50

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Solution

The third proportional to 272,030,647.50 and 590,246,835.50 is: 1,280,706,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,030,647.50 : 590,246,835.50 = 590,246,835.50 : x
  2. Step 2: Convert to fraction form
    272,030,647.50/590,246,835.50 = 590,246,835.50/x
  3. Step 3: Cross multiply
    272,030,647.50x = 590,246,835.50 × 590,246,835.50
  4. Step 4: Simplify right side
    272,030,647.50x = 348,391,326,817,764,032
  5. Step 5: Solve for x
    x = 348,391,326,817,764,032/272,030,647.50
  6. Step 6: Final answer
    x = 1,280,706,163.15

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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.