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Finding the Third Proportional to 463,845,984 and 994,090,080

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Solution

The third proportional to 463,845,984 and 994,090,080 is: 2,130,481,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,845,984 : 994,090,080 = 994,090,080 : x
  2. Step 2: Convert to fraction form
    463,845,984/994,090,080 = 994,090,080/x
  3. Step 3: Cross multiply
    463,845,984x = 994,090,080 × 994,090,080
  4. Step 4: Simplify right side
    463,845,984x = 988,215,087,154,406,400
  5. Step 5: Solve for x
    x = 988,215,087,154,406,400/463,845,984
  6. Step 6: Final answer
    x = 2,130,481,067.51

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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.