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Finding the Third Proportional to 10,602,196 and 23,081,481

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Solution

The third proportional to 10,602,196 and 23,081,481 is: 50,249,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602,196 : 23,081,481 = 23,081,481 : x
  2. Step 2: Convert to fraction form
    10,602,196/23,081,481 = 23,081,481/x
  3. Step 3: Cross multiply
    10,602,196x = 23,081,481 × 23,081,481
  4. Step 4: Simplify right side
    10,602,196x = 532,754,765,153,361
  5. Step 5: Solve for x
    x = 532,754,765,153,361/10,602,196
  6. Step 6: Final answer
    x = 50,249,473.33

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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.