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Finding the Third Proportional to 333,077,184 and 721,756,356

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Solution

The third proportional to 333,077,184 and 721,756,356 is: 1,563,998,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,077,184 : 721,756,356 = 721,756,356 : x
  2. Step 2: Convert to fraction form
    333,077,184/721,756,356 = 721,756,356/x
  3. Step 3: Cross multiply
    333,077,184x = 721,756,356 × 721,756,356
  4. Step 4: Simplify right side
    333,077,184x = 520,932,237,426,398,720
  5. Step 5: Solve for x
    x = 520,932,237,426,398,720/333,077,184
  6. Step 6: Final answer
    x = 1,563,998,563.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.