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Finding the Third Proportional to 2,421,705,883 and 3,790,631,129

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Solution

The third proportional to 2,421,705,883 and 3,790,631,129 is: 5,933,373,023.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421,705,883 : 3,790,631,129 = 3,790,631,129 : x
  2. Step 2: Convert to fraction form
    2,421,705,883/3,790,631,129 = 3,790,631,129/x
  3. Step 3: Cross multiply
    2,421,705,883x = 3,790,631,129 × 3,790,631,129
  4. Step 4: Simplify right side
    2,421,705,883x = 14,368,884,356,143,814,656
  5. Step 5: Solve for x
    x = 14,368,884,356,143,814,656/2,421,705,883
  6. Step 6: Final answer
    x = 5,933,373,023.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.