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Finding the Third Proportional to 920,692,016.75 and 1,972,709,009.50

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Solution

The third proportional to 920,692,016.75 and 1,972,709,009.50 is: 4,226,799,804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,692,016.75 : 1,972,709,009.50 = 1,972,709,009.50 : x
  2. Step 2: Convert to fraction form
    920,692,016.75/1,972,709,009.50 = 1,972,709,009.50/x
  3. Step 3: Cross multiply
    920,692,016.75x = 1,972,709,009.50 × 1,972,709,009.50
  4. Step 4: Simplify right side
    920,692,016.75x = 3,891,580,836,162,470,912
  5. Step 5: Solve for x
    x = 3,891,580,836,162,470,912/920,692,016.75
  6. Step 6: Final answer
    x = 4,226,799,804.24

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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.