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Finding the Third Proportional to 322,994,049.38 and 708,520,442.63

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Solution

The third proportional to 322,994,049.38 and 708,520,442.63 is: 1,554,211,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,994,049.38 : 708,520,442.63 = 708,520,442.63 : x
  2. Step 2: Convert to fraction form
    322,994,049.38/708,520,442.63 = 708,520,442.63/x
  3. Step 3: Cross multiply
    322,994,049.38x = 708,520,442.63 × 708,520,442.63
  4. Step 4: Simplify right side
    322,994,049.38x = 502,001,217,617,525,888
  5. Step 5: Solve for x
    x = 502,001,217,617,525,888/322,994,049.38
  6. Step 6: Final answer
    x = 1,554,211,969.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.