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Finding the Third Proportional to 7,865,688 and 17,161,254

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Solution

The third proportional to 7,865,688 and 17,161,254 is: 37,442,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865,688 : 17,161,254 = 17,161,254 : x
  2. Step 2: Convert to fraction form
    7,865,688/17,161,254 = 17,161,254/x
  3. Step 3: Cross multiply
    7,865,688x = 17,161,254 × 17,161,254
  4. Step 4: Simplify right side
    7,865,688x = 294,508,638,852,516
  5. Step 5: Solve for x
    x = 294,508,638,852,516/7,865,688
  6. Step 6: Final answer
    x = 37,442,196.90

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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.