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Finding the Third Proportional to 920,692,017 and 1,972,709,010

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Solution

The third proportional to 920,692,017 and 1,972,709,010 is: 4,226,799,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,692,017 : 1,972,709,010 = 1,972,709,010 : x
  2. Step 2: Convert to fraction form
    920,692,017/1,972,709,010 = 1,972,709,010/x
  3. Step 3: Cross multiply
    920,692,017x = 1,972,709,010 × 1,972,709,010
  4. Step 4: Simplify right side
    920,692,017x = 3,891,580,838,135,180,288
  5. Step 5: Solve for x
    x = 3,891,580,838,135,180,288/920,692,017
  6. Step 6: Final answer
    x = 4,226,799,805.23

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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.