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Finding the Third Proportional to 307,417,513 and 669,418,324

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Solution

The third proportional to 307,417,513 and 669,418,324 is: 1,457,694,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,417,513 : 669,418,324 = 669,418,324 : x
  2. Step 2: Convert to fraction form
    307,417,513/669,418,324 = 669,418,324/x
  3. Step 3: Cross multiply
    307,417,513x = 669,418,324 × 669,418,324
  4. Step 4: Simplify right side
    307,417,513x = 448,120,892,506,968,960
  5. Step 5: Solve for x
    x = 448,120,892,506,968,960/307,417,513
  6. Step 6: Final answer
    x = 1,457,694,742.68

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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.