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Finding the Third Proportional to 7,678,774 and 16,803,883

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Solution

The third proportional to 7,678,774 and 16,803,883 is: 36,772,860.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678,774 : 16,803,883 = 16,803,883 : x
  2. Step 2: Convert to fraction form
    7,678,774/16,803,883 = 16,803,883/x
  3. Step 3: Cross multiply
    7,678,774x = 16,803,883 × 16,803,883
  4. Step 4: Simplify right side
    7,678,774x = 282,370,483,877,689
  5. Step 5: Solve for x
    x = 282,370,483,877,689/7,678,774
  6. Step 6: Final answer
    x = 36,772,860.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.