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Finding the Third Proportional to 16,549,462,066,476 and 38,667,012,276,304

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Solution

The third proportional to 16,549,462,066,476 and 38,667,012,276,304 is: 90,343,591,372,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549,462,066,476 : 38,667,012,276,304 = 38,667,012,276,304 : x
  2. Step 2: Convert to fraction form
    16,549,462,066,476/38,667,012,276,304 = 38,667,012,276,304/x
  3. Step 3: Cross multiply
    16,549,462,066,476x = 38,667,012,276,304 × 38,667,012,276,304
  4. Step 4: Simplify right side
    16,549,462,066,476x = 1,495,137,838,375,844,198,727,286,784
  5. Step 5: Solve for x
    x = 1,495,137,838,375,844,198,727,286,784/16,549,462,066,476
  6. Step 6: Final answer
    x = 90,343,591,372,949.98

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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.