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Finding the Third Proportional to 10,068,981,702 and 15,795,261,153

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Solution

The third proportional to 10,068,981,702 and 15,795,261,153 is: 24,778,103,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068,981,702 : 15,795,261,153 = 15,795,261,153 : x
  2. Step 2: Convert to fraction form
    10,068,981,702/15,795,261,153 = 15,795,261,153/x
  3. Step 3: Cross multiply
    10,068,981,702x = 15,795,261,153 × 15,795,261,153
  4. Step 4: Simplify right side
    10,068,981,702x = 249,490,274,891,470,897,152
  5. Step 5: Solve for x
    x = 249,490,274,891,470,897,152/10,068,981,702
  6. Step 6: Final answer
    x = 24,778,103,911.13

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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.