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Finding the Third Proportional to 10,483,564 and 22,424,434

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Solution

The third proportional to 10,483,564 and 22,424,434 is: 47,966,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483,564 : 22,424,434 = 22,424,434 : x
  2. Step 2: Convert to fraction form
    10,483,564/22,424,434 = 22,424,434/x
  3. Step 3: Cross multiply
    10,483,564x = 22,424,434 × 22,424,434
  4. Step 4: Simplify right side
    10,483,564x = 502,855,240,220,356
  5. Step 5: Solve for x
    x = 502,855,240,220,356/10,483,564
  6. Step 6: Final answer
    x = 47,966,058.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.