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Finding the Third Proportional to 7,162,971 and 15,460,299

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Solution

The third proportional to 7,162,971 and 15,460,299 is: 33,368,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162,971 : 15,460,299 = 15,460,299 : x
  2. Step 2: Convert to fraction form
    7,162,971/15,460,299 = 15,460,299/x
  3. Step 3: Cross multiply
    7,162,971x = 15,460,299 × 15,460,299
  4. Step 4: Simplify right side
    7,162,971x = 239,020,845,169,401
  5. Step 5: Solve for x
    x = 239,020,845,169,401/7,162,971
  6. Step 6: Final answer
    x = 33,368,953.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.