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Finding the Third Proportional to 6,899,787,480 and 15,008,489,102

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Solution

The third proportional to 6,899,787,480 and 15,008,489,102 is: 32,646,620,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899,787,480 : 15,008,489,102 = 15,008,489,102 : x
  2. Step 2: Convert to fraction form
    6,899,787,480/15,008,489,102 = 15,008,489,102/x
  3. Step 3: Cross multiply
    6,899,787,480x = 15,008,489,102 × 15,008,489,102
  4. Step 4: Simplify right side
    6,899,787,480x = 225,254,745,124,852,760,576
  5. Step 5: Solve for x
    x = 225,254,745,124,852,760,576/6,899,787,480
  6. Step 6: Final answer
    x = 32,646,620,751.41

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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.