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Finding the Third Proportional to 19,868,317,310 and 30,539,028,153

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Solution

The third proportional to 19,868,317,310 and 30,539,028,153 is: 46,940,675,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,868,317,310 : 30,539,028,153 = 30,539,028,153 : x
  2. Step 2: Convert to fraction form
    19,868,317,310/30,539,028,153 = 30,539,028,153/x
  3. Step 3: Cross multiply
    19,868,317,310x = 30,539,028,153 × 30,539,028,153
  4. Step 4: Simplify right side
    19,868,317,310x = 932,632,240,529,726,636,032
  5. Step 5: Solve for x
    x = 932,632,240,529,726,636,032/19,868,317,310
  6. Step 6: Final answer
    x = 46,940,675,749.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.