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Finding the Third Proportional to 948,899,053.13 and 2,061,011,364.75

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Solution

The third proportional to 948,899,053.13 and 2,061,011,364.75 is: 4,476,522,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,899,053.13 : 2,061,011,364.75 = 2,061,011,364.75 : x
  2. Step 2: Convert to fraction form
    948,899,053.13/2,061,011,364.75 = 2,061,011,364.75/x
  3. Step 3: Cross multiply
    948,899,053.13x = 2,061,011,364.75 × 2,061,011,364.75
  4. Step 4: Simplify right side
    948,899,053.13x = 4,247,767,845,628,657,664
  5. Step 5: Solve for x
    x = 4,247,767,845,628,657,664/948,899,053.13
  6. Step 6: Final answer
    x = 4,476,522,377.84

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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.