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Finding the Third Proportional to 991,467,157.78 and 1,499,952,361.64

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Solution

The third proportional to 991,467,157.78 and 1,499,952,361.64 is: 2,269,219,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    991,467,157.78 : 1,499,952,361.64 = 1,499,952,361.64 : x
  2. Step 2: Convert to fraction form
    991,467,157.78/1,499,952,361.64 = 1,499,952,361.64/x
  3. Step 3: Cross multiply
    991,467,157.78x = 1,499,952,361.64 × 1,499,952,361.64
  4. Step 4: Simplify right side
    991,467,157.78x = 2,249,857,087,191,213,312
  5. Step 5: Solve for x
    x = 2,249,857,087,191,213,312/991,467,157.78
  6. Step 6: Final answer
    x = 2,269,219,983.27

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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.