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Finding the Third Proportional to 344,574,166 and 756,098,964

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Solution

The third proportional to 344,574,166 and 756,098,964 is: 1,659,107,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,574,166 : 756,098,964 = 756,098,964 : x
  2. Step 2: Convert to fraction form
    344,574,166/756,098,964 = 756,098,964/x
  3. Step 3: Cross multiply
    344,574,166x = 756,098,964 × 756,098,964
  4. Step 4: Simplify right side
    344,574,166x = 571,685,643,361,873,280
  5. Step 5: Solve for x
    x = 571,685,643,361,873,280/344,574,166
  6. Step 6: Final answer
    x = 1,659,107,674.84

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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.