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Finding the Third Proportional to 5,306,155,452 and 11,357,699,580

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Solution

The third proportional to 5,306,155,452 and 11,357,699,580 is: 24,310,885,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306,155,452 : 11,357,699,580 = 11,357,699,580 : x
  2. Step 2: Convert to fraction form
    5,306,155,452/11,357,699,580 = 11,357,699,580/x
  3. Step 3: Cross multiply
    5,306,155,452x = 11,357,699,580 × 11,357,699,580
  4. Step 4: Simplify right side
    5,306,155,452x = 128,997,339,749,532,172,288
  5. Step 5: Solve for x
    x = 128,997,339,749,532,172,288/5,306,155,452
  6. Step 6: Final answer
    x = 24,310,885,897.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.