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Finding the Third Proportional to 2,939,034,342 and 6,345,605,179.50

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Solution

The third proportional to 2,939,034,342 and 6,345,605,179.50 is: 13,700,658,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939,034,342 : 6,345,605,179.50 = 6,345,605,179.50 : x
  2. Step 2: Convert to fraction form
    2,939,034,342/6,345,605,179.50 = 6,345,605,179.50/x
  3. Step 3: Cross multiply
    2,939,034,342x = 6,345,605,179.50 × 6,345,605,179.50
  4. Step 4: Simplify right side
    2,939,034,342x = 40,266,705,094,097,223,680
  5. Step 5: Solve for x
    x = 40,266,705,094,097,223,680/2,939,034,342
  6. Step 6: Final answer
    x = 13,700,658,246.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.