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Finding the Third Proportional to 10,710,849 and 23,547,189

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Solution

The third proportional to 10,710,849 and 23,547,189 is: 51,767,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710,849 : 23,547,189 = 23,547,189 : x
  2. Step 2: Convert to fraction form
    10,710,849/23,547,189 = 23,547,189/x
  3. Step 3: Cross multiply
    10,710,849x = 23,547,189 × 23,547,189
  4. Step 4: Simplify right side
    10,710,849x = 554,470,109,801,721
  5. Step 5: Solve for x
    x = 554,470,109,801,721/10,710,849
  6. Step 6: Final answer
    x = 51,767,148.41

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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.