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Finding the Third Proportional to 618,279,337.50 and 1,333,411,053

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Solution

The third proportional to 618,279,337.50 and 1,333,411,053 is: 2,875,698,617.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,279,337.50 : 1,333,411,053 = 1,333,411,053 : x
  2. Step 2: Convert to fraction form
    618,279,337.50/1,333,411,053 = 1,333,411,053/x
  3. Step 3: Cross multiply
    618,279,337.50x = 1,333,411,053 × 1,333,411,053
  4. Step 4: Simplify right side
    618,279,337.50x = 1,777,985,036,262,568,704
  5. Step 5: Solve for x
    x = 1,777,985,036,262,568,704/618,279,337.50
  6. Step 6: Final answer
    x = 2,875,698,617.80

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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.