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Finding the Third Proportional to 370,073,765 and 822,868,133

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Solution

The third proportional to 370,073,765 and 822,868,133 is: 1,829,667,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,073,765 : 822,868,133 = 822,868,133 : x
  2. Step 2: Convert to fraction form
    370,073,765/822,868,133 = 822,868,133/x
  3. Step 3: Cross multiply
    370,073,765x = 822,868,133 × 822,868,133
  4. Step 4: Simplify right side
    370,073,765x = 677,111,964,306,905,728
  5. Step 5: Solve for x
    x = 677,111,964,306,905,728/370,073,765
  6. Step 6: Final answer
    x = 1,829,667,564.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.