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Finding the Third Proportional to 22,678,476 and 35,020,454

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Solution

The third proportional to 22,678,476 and 35,020,454 is: 54,079,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678,476 : 35,020,454 = 35,020,454 : x
  2. Step 2: Convert to fraction form
    22,678,476/35,020,454 = 35,020,454/x
  3. Step 3: Cross multiply
    22,678,476x = 35,020,454 × 35,020,454
  4. Step 4: Simplify right side
    22,678,476x = 1,226,432,198,366,116
  5. Step 5: Solve for x
    x = 1,226,432,198,366,116/22,678,476
  6. Step 6: Final answer
    x = 54,079,127.64

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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.