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Finding the Third Proportional to 10,726,602,111 and 23,092,556,193

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Solution

The third proportional to 10,726,602,111 and 23,092,556,193 is: 49,714,359,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726,602,111 : 23,092,556,193 = 23,092,556,193 : x
  2. Step 2: Convert to fraction form
    10,726,602,111/23,092,556,193 = 23,092,556,193/x
  3. Step 3: Cross multiply
    10,726,602,111x = 23,092,556,193 × 23,092,556,193
  4. Step 4: Simplify right side
    10,726,602,111x = 533,266,151,526,862,684,160
  5. Step 5: Solve for x
    x = 533,266,151,526,862,684,160/10,726,602,111
  6. Step 6: Final answer
    x = 49,714,359,310.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.