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Finding the Third Proportional to 17,071,264 and 37,547,590

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Solution

The third proportional to 17,071,264 and 37,547,590 is: 82,584,483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071,264 : 37,547,590 = 37,547,590 : x
  2. Step 2: Convert to fraction form
    17,071,264/37,547,590 = 37,547,590/x
  3. Step 3: Cross multiply
    17,071,264x = 37,547,590 × 37,547,590
  4. Step 4: Simplify right side
    17,071,264x = 1,409,821,514,808,100
  5. Step 5: Solve for x
    x = 1,409,821,514,808,100/17,071,264
  6. Step 6: Final answer
    x = 82,584,483.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.