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Finding the Third Proportional to 6,143,088,496 and 9,892,395,816

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Solution

The third proportional to 6,143,088,496 and 9,892,395,816 is: 15,930,015,503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143,088,496 : 9,892,395,816 = 9,892,395,816 : x
  2. Step 2: Convert to fraction form
    6,143,088,496/9,892,395,816 = 9,892,395,816/x
  3. Step 3: Cross multiply
    6,143,088,496x = 9,892,395,816 × 9,892,395,816
  4. Step 4: Simplify right side
    6,143,088,496x = 97,859,494,980,414,308,352
  5. Step 5: Solve for x
    x = 97,859,494,980,414,308,352/6,143,088,496
  6. Step 6: Final answer
    x = 15,930,015,503.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.