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Finding the Third Proportional to 4,378,254,893.93 and 6,538,691,984.91

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Solution

The third proportional to 4,378,254,893.93 and 6,538,691,984.91 is: 9,765,190,449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378,254,893.93 : 6,538,691,984.91 = 6,538,691,984.91 : x
  2. Step 2: Convert to fraction form
    4,378,254,893.93/6,538,691,984.91 = 6,538,691,984.91/x
  3. Step 3: Cross multiply
    4,378,254,893.93x = 6,538,691,984.91 × 6,538,691,984.91
  4. Step 4: Simplify right side
    4,378,254,893.93x = 42,754,492,873,473,966,080
  5. Step 5: Solve for x
    x = 42,754,492,873,473,966,080/4,378,254,893.93
  6. Step 6: Final answer
    x = 9,765,190,449.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.