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Finding the Third Proportional to 3,540,157,908,700 and 7,703,693,768,476

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Solution

The third proportional to 3,540,157,908,700 and 7,703,693,768,476 is: 16,763,912,573,676.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540,157,908,700 : 7,703,693,768,476 = 7,703,693,768,476 : x
  2. Step 2: Convert to fraction form
    3,540,157,908,700/7,703,693,768,476 = 7,703,693,768,476/x
  3. Step 3: Cross multiply
    3,540,157,908,700x = 7,703,693,768,476 × 7,703,693,768,476
  4. Step 4: Simplify right side
    3,540,157,908,700x = 59,346,897,678,455,958,386,245,632
  5. Step 5: Solve for x
    x = 59,346,897,678,455,958,386,245,632/3,540,157,908,700
  6. Step 6: Final answer
    x = 16,763,912,573,676.42

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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.