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Finding the Third Proportional to 72,103,589,893 and 105,995,475,744

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Solution

The third proportional to 72,103,589,893 and 105,995,475,744 is: 155,818,051,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,103,589,893 : 105,995,475,744 = 105,995,475,744 : x
  2. Step 2: Convert to fraction form
    72,103,589,893/105,995,475,744 = 105,995,475,744/x
  3. Step 3: Cross multiply
    72,103,589,893x = 105,995,475,744 × 105,995,475,744
  4. Step 4: Simplify right side
    72,103,589,893x = 11,235,040,878,196,892,368,896
  5. Step 5: Solve for x
    x = 11,235,040,878,196,892,368,896/72,103,589,893
  6. Step 6: Final answer
    x = 155,818,051,429.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.