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Finding the Third Proportional to 307,417,518 and 669,418,332

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Solution

The third proportional to 307,417,518 and 669,418,332 is: 1,457,694,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,417,518 : 669,418,332 = 669,418,332 : x
  2. Step 2: Convert to fraction form
    307,417,518/669,418,332 = 669,418,332/x
  3. Step 3: Cross multiply
    307,417,518x = 669,418,332 × 669,418,332
  4. Step 4: Simplify right side
    307,417,518x = 448,120,903,217,662,208
  5. Step 5: Solve for x
    x = 448,120,903,217,662,208/307,417,518
  6. Step 6: Final answer
    x = 1,457,694,753.81

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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.