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Finding the Third Proportional to 46,573,565,877 and 101,307,302,064

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Solution

The third proportional to 46,573,565,877 and 101,307,302,064 is: 220,364,690,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,573,565,877 : 101,307,302,064 = 101,307,302,064 : x
  2. Step 2: Convert to fraction form
    46,573,565,877/101,307,302,064 = 101,307,302,064/x
  3. Step 3: Cross multiply
    46,573,565,877x = 101,307,302,064 × 101,307,302,064
  4. Step 4: Simplify right side
    46,573,565,877x = 10,263,169,451,486,538,104,832
  5. Step 5: Solve for x
    x = 10,263,169,451,486,538,104,832/46,573,565,877
  6. Step 6: Final answer
    x = 220,364,690,962.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.