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Finding the Third Proportional to 3,452,720,148 and 5,047,997,598

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Solution

The third proportional to 3,452,720,148 and 5,047,997,598 is: 7,380,349,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452,720,148 : 5,047,997,598 = 5,047,997,598 : x
  2. Step 2: Convert to fraction form
    3,452,720,148/5,047,997,598 = 5,047,997,598/x
  3. Step 3: Cross multiply
    3,452,720,148x = 5,047,997,598 × 5,047,997,598
  4. Step 4: Simplify right side
    3,452,720,148x = 25,482,279,749,413,769,216
  5. Step 5: Solve for x
    x = 25,482,279,749,413,769,216/3,452,720,148
  6. Step 6: Final answer
    x = 7,380,349,016.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.