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Finding the Third Proportional to 45,877,756 and 97,070,084

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Solution

The third proportional to 45,877,756 and 97,070,084 is: 205,384,962.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,877,756 : 97,070,084 = 97,070,084 : x
  2. Step 2: Convert to fraction form
    45,877,756/97,070,084 = 97,070,084/x
  3. Step 3: Cross multiply
    45,877,756x = 97,070,084 × 97,070,084
  4. Step 4: Simplify right side
    45,877,756x = 9,422,601,207,767,056
  5. Step 5: Solve for x
    x = 9,422,601,207,767,056/45,877,756
  6. Step 6: Final answer
    x = 205,384,962.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.