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Finding the Third Proportional to 45,312,497 and 97,845,121

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Solution

The third proportional to 45,312,497 and 97,845,121 is: 211,280,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312,497 : 97,845,121 = 97,845,121 : x
  2. Step 2: Convert to fraction form
    45,312,497/97,845,121 = 97,845,121/x
  3. Step 3: Cross multiply
    45,312,497x = 97,845,121 × 97,845,121
  4. Step 4: Simplify right side
    45,312,497x = 9,573,667,703,504,640
  5. Step 5: Solve for x
    x = 9,573,667,703,504,640/45,312,497
  6. Step 6: Final answer
    x = 211,280,956.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.