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Finding the Third Proportional to 9,929,811,762 and 21,603,002,068

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Solution

The third proportional to 9,929,811,762 and 21,603,002,068 is: 46,998,846,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929,811,762 : 21,603,002,068 = 21,603,002,068 : x
  2. Step 2: Convert to fraction form
    9,929,811,762/21,603,002,068 = 21,603,002,068/x
  3. Step 3: Cross multiply
    9,929,811,762x = 21,603,002,068 × 21,603,002,068
  4. Step 4: Simplify right side
    9,929,811,762x = 466,689,698,350,012,301,312
  5. Step 5: Solve for x
    x = 466,689,698,350,012,301,312/9,929,811,762
  6. Step 6: Final answer
    x = 46,998,846,457.09

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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.