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Finding the Third Proportional to 10,348,790 and 22,509,642

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Solution

The third proportional to 10,348,790 and 22,509,642 is: 48,960,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348,790 : 22,509,642 = 22,509,642 : x
  2. Step 2: Convert to fraction form
    10,348,790/22,509,642 = 22,509,642/x
  3. Step 3: Cross multiply
    10,348,790x = 22,509,642 × 22,509,642
  4. Step 4: Simplify right side
    10,348,790x = 506,683,982,968,164
  5. Step 5: Solve for x
    x = 506,683,982,968,164/10,348,790
  6. Step 6: Final answer
    x = 48,960,698.11

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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.