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Finding the Third Proportional to 2,346,368,952 and 5,096,301,180

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Solution

The third proportional to 2,346,368,952 and 5,096,301,180 is: 11,069,139,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346,368,952 : 5,096,301,180 = 5,096,301,180 : x
  2. Step 2: Convert to fraction form
    2,346,368,952/5,096,301,180 = 5,096,301,180/x
  3. Step 3: Cross multiply
    2,346,368,952x = 5,096,301,180 × 5,096,301,180
  4. Step 4: Simplify right side
    2,346,368,952x = 25,972,285,717,269,393,408
  5. Step 5: Solve for x
    x = 25,972,285,717,269,393,408/2,346,368,952
  6. Step 6: Final answer
    x = 11,069,139,699.93

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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.