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Finding the Third Proportional to 3,049,893,468 and 6,659,102,952

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Solution

The third proportional to 3,049,893,468 and 6,659,102,952 is: 14,539,410,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049,893,468 : 6,659,102,952 = 6,659,102,952 : x
  2. Step 2: Convert to fraction form
    3,049,893,468/6,659,102,952 = 6,659,102,952/x
  3. Step 3: Cross multiply
    3,049,893,468x = 6,659,102,952 × 6,659,102,952
  4. Step 4: Simplify right side
    3,049,893,468x = 44,343,652,125,335,117,824
  5. Step 5: Solve for x
    x = 44,343,652,125,335,117,824/3,049,893,468
  6. Step 6: Final answer
    x = 14,539,410,176.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.