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Finding the Third Proportional to 1,007,140,296 and 2,167,335,648

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Solution

The third proportional to 1,007,140,296 and 2,167,335,648 is: 4,664,041,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,140,296 : 2,167,335,648 = 2,167,335,648 : x
  2. Step 2: Convert to fraction form
    1,007,140,296/2,167,335,648 = 2,167,335,648/x
  3. Step 3: Cross multiply
    1,007,140,296x = 2,167,335,648 × 2,167,335,648
  4. Step 4: Simplify right side
    1,007,140,296x = 4,697,343,811,091,579,904
  5. Step 5: Solve for x
    x = 4,697,343,811,091,579,904/1,007,140,296
  6. Step 6: Final answer
    x = 4,664,041,176.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.