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Finding the Third Proportional to 4,662,538,140 and 9,512,370,024

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Solution

The third proportional to 4,662,538,140 and 9,512,370,024 is: 19,406,851,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662,538,140 : 9,512,370,024 = 9,512,370,024 : x
  2. Step 2: Convert to fraction form
    4,662,538,140/9,512,370,024 = 9,512,370,024/x
  3. Step 3: Cross multiply
    4,662,538,140x = 9,512,370,024 × 9,512,370,024
  4. Step 4: Simplify right side
    4,662,538,140x = 90,485,183,473,493,753,856
  5. Step 5: Solve for x
    x = 90,485,183,473,493,753,856/4,662,538,140
  6. Step 6: Final answer
    x = 19,406,851,109.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.