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Finding the Third Proportional to 757,223,010 and 1,163,187,252

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Solution

The third proportional to 757,223,010 and 1,163,187,252 is: 1,786,798,030.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,223,010 : 1,163,187,252 = 1,163,187,252 : x
  2. Step 2: Convert to fraction form
    757,223,010/1,163,187,252 = 1,163,187,252/x
  3. Step 3: Cross multiply
    757,223,010x = 1,163,187,252 × 1,163,187,252
  4. Step 4: Simplify right side
    757,223,010x = 1,353,004,583,215,311,616
  5. Step 5: Solve for x
    x = 1,353,004,583,215,311,616/757,223,010
  6. Step 6: Final answer
    x = 1,786,798,030.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.