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Finding the Third Proportional to 22,678,480.50 and 35,020,460.25

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Solution

The third proportional to 22,678,480.50 and 35,020,460.25 is: 54,079,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678,480.50 : 35,020,460.25 = 35,020,460.25 : x
  2. Step 2: Convert to fraction form
    22,678,480.50/35,020,460.25 = 35,020,460.25/x
  3. Step 3: Cross multiply
    22,678,480.50x = 35,020,460.25 × 35,020,460.25
  4. Step 4: Simplify right side
    22,678,480.50x = 1,226,432,636,121,830
  5. Step 5: Solve for x
    x = 1,226,432,636,121,830/22,678,480.50
  6. Step 6: Final answer
    x = 54,079,136.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.