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Finding the Third Proportional to 72,773,922 and 157,826,653

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Solution

The third proportional to 72,773,922 and 157,826,653 is: 342,282,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,773,922 : 157,826,653 = 157,826,653 : x
  2. Step 2: Convert to fraction form
    72,773,922/157,826,653 = 157,826,653/x
  3. Step 3: Cross multiply
    72,773,922x = 157,826,653 × 157,826,653
  4. Step 4: Simplify right side
    72,773,922x = 24,909,252,397,182,408
  5. Step 5: Solve for x
    x = 24,909,252,397,182,408/72,773,922
  6. Step 6: Final answer
    x = 342,282,670.94

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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.