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Finding the Third Proportional to 920,692,008 and 1,972,708,992

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Solution

The third proportional to 920,692,008 and 1,972,708,992 is: 4,226,799,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,692,008 : 1,972,708,992 = 1,972,708,992 : x
  2. Step 2: Convert to fraction form
    920,692,008/1,972,708,992 = 1,972,708,992/x
  3. Step 3: Cross multiply
    920,692,008x = 1,972,708,992 × 1,972,708,992
  4. Step 4: Simplify right side
    920,692,008x = 3,891,580,767,117,656,064
  5. Step 5: Solve for x
    x = 3,891,580,767,117,656,064/920,692,008
  6. Step 6: Final answer
    x = 4,226,799,769.42

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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.