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Finding the Third Proportional to 920,692,012 and 1,972,709,000

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Solution

The third proportional to 920,692,012 and 1,972,709,000 is: 4,226,799,785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,692,012 : 1,972,709,000 = 1,972,709,000 : x
  2. Step 2: Convert to fraction form
    920,692,012/1,972,709,000 = 1,972,709,000/x
  3. Step 3: Cross multiply
    920,692,012x = 1,972,709,000 × 1,972,709,000
  4. Step 4: Simplify right side
    920,692,012x = 3,891,580,798,680,999,936
  5. Step 5: Solve for x
    x = 3,891,580,798,680,999,936/920,692,012
  6. Step 6: Final answer
    x = 4,226,799,785.33

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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.