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Finding the Third Proportional to 3,897,480,914 and 9,094,436,416

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Solution

The third proportional to 3,897,480,914 and 9,094,436,416 is: 21,221,084,990.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,480,914 : 9,094,436,416 = 9,094,436,416 : x
  2. Step 2: Convert to fraction form
    3,897,480,914/9,094,436,416 = 9,094,436,416/x
  3. Step 3: Cross multiply
    3,897,480,914x = 9,094,436,416 × 9,094,436,416
  4. Step 4: Simplify right side
    3,897,480,914x = 82,708,773,724,666,920,960
  5. Step 5: Solve for x
    x = 82,708,773,724,666,920,960/3,897,480,914
  6. Step 6: Final answer
    x = 21,221,084,990.45

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.