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Finding the Third Proportional to 10,051,679,796 and 22,097,325,900

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Solution

The third proportional to 10,051,679,796 and 22,097,325,900 is: 48,578,130,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051,679,796 : 22,097,325,900 = 22,097,325,900 : x
  2. Step 2: Convert to fraction form
    10,051,679,796/22,097,325,900 = 22,097,325,900/x
  3. Step 3: Cross multiply
    10,051,679,796x = 22,097,325,900 × 22,097,325,900
  4. Step 4: Simplify right side
    10,051,679,796x = 488,291,811,930,810,810,368
  5. Step 5: Solve for x
    x = 488,291,811,930,810,810,368/10,051,679,796
  6. Step 6: Final answer
    x = 48,578,130,406.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.