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Finding the Third Proportional to 438,522,407 and 975,091,504

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Solution

The third proportional to 438,522,407 and 975,091,504 is: 2,168,198,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,522,407 : 975,091,504 = 975,091,504 : x
  2. Step 2: Convert to fraction form
    438,522,407/975,091,504 = 975,091,504/x
  3. Step 3: Cross multiply
    438,522,407x = 975,091,504 × 975,091,504
  4. Step 4: Simplify right side
    438,522,407x = 950,803,441,172,982,016
  5. Step 5: Solve for x
    x = 950,803,441,172,982,016/438,522,407
  6. Step 6: Final answer
    x = 2,168,198,080.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.