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Finding the Third Proportional to 460,882,513.13 and 673,826,346

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Solution

The third proportional to 460,882,513.13 and 673,826,346 is: 985,157,673.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,882,513.13 : 673,826,346 = 673,826,346 : x
  2. Step 2: Convert to fraction form
    460,882,513.13/673,826,346 = 673,826,346/x
  3. Step 3: Cross multiply
    460,882,513.13x = 673,826,346 × 673,826,346
  4. Step 4: Simplify right side
    460,882,513.13x = 454,041,944,563,711,744
  5. Step 5: Solve for x
    x = 454,041,944,563,711,744/460,882,513.13
  6. Step 6: Final answer
    x = 985,157,673.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.