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Finding the Third Proportional to 947,450,662.07 and 2,112,749,923.32

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Solution

The third proportional to 947,450,662.07 and 2,112,749,923.32 is: 4,711,287,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,450,662.07 : 2,112,749,923.32 = 2,112,749,923.32 : x
  2. Step 2: Convert to fraction form
    947,450,662.07/2,112,749,923.32 = 2,112,749,923.32/x
  3. Step 3: Cross multiply
    947,450,662.07x = 2,112,749,923.32 × 2,112,749,923.32
  4. Step 4: Simplify right side
    947,450,662.07x = 4,463,712,238,506,835,968
  5. Step 5: Solve for x
    x = 4,463,712,238,506,835,968/947,450,662.07
  6. Step 6: Final answer
    x = 4,711,287,265.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.