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Finding the Third Proportional to 16,549,462,066,478 and 38,667,012,276,309

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Solution

The third proportional to 16,549,462,066,478 and 38,667,012,276,309 is: 90,343,591,372,962.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549,462,066,478 : 38,667,012,276,309 = 38,667,012,276,309 : x
  2. Step 2: Convert to fraction form
    16,549,462,066,478/38,667,012,276,309 = 38,667,012,276,309/x
  3. Step 3: Cross multiply
    16,549,462,066,478x = 38,667,012,276,309 × 38,667,012,276,309
  4. Step 4: Simplify right side
    16,549,462,066,478x = 1,495,137,838,376,230,951,942,356,992
  5. Step 5: Solve for x
    x = 1,495,137,838,376,230,951,942,356,992/16,549,462,066,478
  6. Step 6: Final answer
    x = 90,343,591,372,962.44

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.