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Finding the Third Proportional to 22,699,767,610 and 48,768,253,762

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Solution

The third proportional to 22,699,767,610 and 48,768,253,762 is: 104,773,873,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,699,767,610 : 48,768,253,762 = 48,768,253,762 : x
  2. Step 2: Convert to fraction form
    22,699,767,610/48,768,253,762 = 48,768,253,762/x
  3. Step 3: Cross multiply
    22,699,767,610x = 48,768,253,762 × 48,768,253,762
  4. Step 4: Simplify right side
    22,699,767,610x = 2,378,342,574,994,826,985,472
  5. Step 5: Solve for x
    x = 2,378,342,574,994,826,985,472/22,699,767,610
  6. Step 6: Final answer
    x = 104,773,873,277.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.