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Finding the Third Proportional to 65,877,406 and 143,095,376

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Solution

The third proportional to 65,877,406 and 143,095,376 is: 310,824,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,877,406 : 143,095,376 = 143,095,376 : x
  2. Step 2: Convert to fraction form
    65,877,406/143,095,376 = 143,095,376/x
  3. Step 3: Cross multiply
    65,877,406x = 143,095,376 × 143,095,376
  4. Step 4: Simplify right side
    65,877,406x = 20,476,286,632,581,376
  5. Step 5: Solve for x
    x = 20,476,286,632,581,376/65,877,406
  6. Step 6: Final answer
    x = 310,824,118.25

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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.