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Finding the Third Proportional to 618,279,348.75 and 1,333,411,072.50

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Solution

The third proportional to 618,279,348.75 and 1,333,411,072.50 is: 2,875,698,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,279,348.75 : 1,333,411,072.50 = 1,333,411,072.50 : x
  2. Step 2: Convert to fraction form
    618,279,348.75/1,333,411,072.50 = 1,333,411,072.50/x
  3. Step 3: Cross multiply
    618,279,348.75x = 1,333,411,072.50 × 1,333,411,072.50
  4. Step 4: Simplify right side
    618,279,348.75x = 1,777,985,088,265,600,256
  5. Step 5: Solve for x
    x = 1,777,985,088,265,600,256/618,279,348.75
  6. Step 6: Final answer
    x = 2,875,698,649.58

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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.