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Finding the Third Proportional to 920,692,021 and 1,972,709,017

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Solution

The third proportional to 920,692,021 and 1,972,709,017 is: 4,226,799,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,692,021 : 1,972,709,017 = 1,972,709,017 : x
  2. Step 2: Convert to fraction form
    920,692,021/1,972,709,017 = 1,972,709,017/x
  3. Step 3: Cross multiply
    920,692,021x = 1,972,709,017 × 1,972,709,017
  4. Step 4: Simplify right side
    920,692,021x = 3,891,580,865,753,106,432
  5. Step 5: Solve for x
    x = 3,891,580,865,753,106,432/920,692,021
  6. Step 6: Final answer
    x = 4,226,799,816.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.