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Finding the Third Proportional to 344,525,217 and 756,011,811

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Solution

The third proportional to 344,525,217 and 756,011,811 is: 1,658,960,883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,525,217 : 756,011,811 = 756,011,811 : x
  2. Step 2: Convert to fraction form
    344,525,217/756,011,811 = 756,011,811/x
  3. Step 3: Cross multiply
    344,525,217x = 756,011,811 × 756,011,811
  4. Step 4: Simplify right side
    344,525,217x = 571,553,858,371,499,712
  5. Step 5: Solve for x
    x = 571,553,858,371,499,712/344,525,217
  6. Step 6: Final answer
    x = 1,658,960,883.47

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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.