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Finding the Third Proportional to 302,859,018,056.25 and 654,074,290,962

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Solution

The third proportional to 302,859,018,056.25 and 654,074,290,962 is: 1,412,581,936,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,859,018,056.25 : 654,074,290,962 = 654,074,290,962 : x
  2. Step 2: Convert to fraction form
    302,859,018,056.25/654,074,290,962 = 654,074,290,962/x
  3. Step 3: Cross multiply
    302,859,018,056.25x = 654,074,290,962 × 654,074,290,962
  4. Step 4: Simplify right side
    302,859,018,056.25x = 427,813,178,097,443,018,899,456
  5. Step 5: Solve for x
    x = 427,813,178,097,443,018,899,456/302,859,018,056.25
  6. Step 6: Final answer
    x = 1,412,581,936,120.47

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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.