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Finding the Third Proportional to 881,303,184 and 1,333,289,509.50

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Solution

The third proportional to 881,303,184 and 1,333,289,509.50 is: 2,017,082,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,303,184 : 1,333,289,509.50 = 1,333,289,509.50 : x
  2. Step 2: Convert to fraction form
    881,303,184/1,333,289,509.50 = 1,333,289,509.50/x
  3. Step 3: Cross multiply
    881,303,184x = 1,333,289,509.50 × 1,333,289,509.50
  4. Step 4: Simplify right side
    881,303,184x = 1,777,660,916,142,750,464
  5. Step 5: Solve for x
    x = 1,777,660,916,142,750,464/881,303,184
  6. Step 6: Final answer
    x = 2,017,082,144.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.