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Finding the Third Proportional to 323,863,242 and 705,230,002.50

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Solution

The third proportional to 323,863,242 and 705,230,002.50 is: 1,535,677,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,863,242 : 705,230,002.50 = 705,230,002.50 : x
  2. Step 2: Convert to fraction form
    323,863,242/705,230,002.50 = 705,230,002.50/x
  3. Step 3: Cross multiply
    323,863,242x = 705,230,002.50 × 705,230,002.50
  4. Step 4: Simplify right side
    323,863,242x = 497,349,356,426,150,016
  5. Step 5: Solve for x
    x = 497,349,356,426,150,016/323,863,242
  6. Step 6: Final answer
    x = 1,535,677,075.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.