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Finding the Third Proportional to 45,673,314 and 98,476,521

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Solution

The third proportional to 45,673,314 and 98,476,521 is: 212,325,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,673,314 : 98,476,521 = 98,476,521 : x
  2. Step 2: Convert to fraction form
    45,673,314/98,476,521 = 98,476,521/x
  3. Step 3: Cross multiply
    45,673,314x = 98,476,521 × 98,476,521
  4. Step 4: Simplify right side
    45,673,314x = 9,697,625,188,263,440
  5. Step 5: Solve for x
    x = 9,697,625,188,263,440/45,673,314
  6. Step 6: Final answer
    x = 212,325,849.36

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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.