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Finding the Third Proportional to 789,567,210 and 1,710,796,266

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Solution

The third proportional to 789,567,210 and 1,710,796,266 is: 3,706,871,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,567,210 : 1,710,796,266 = 1,710,796,266 : x
  2. Step 2: Convert to fraction form
    789,567,210/1,710,796,266 = 1,710,796,266/x
  3. Step 3: Cross multiply
    789,567,210x = 1,710,796,266 × 1,710,796,266
  4. Step 4: Simplify right side
    789,567,210x = 2,926,823,863,759,542,784
  5. Step 5: Solve for x
    x = 2,926,823,863,759,542,784/789,567,210
  6. Step 6: Final answer
    x = 3,706,871,089.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.