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Finding the Third Proportional to 7,774,438 and 16,045,688

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Solution

The third proportional to 7,774,438 and 16,045,688 is: 33,116,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774,438 : 16,045,688 = 16,045,688 : x
  2. Step 2: Convert to fraction form
    7,774,438/16,045,688 = 16,045,688/x
  3. Step 3: Cross multiply
    7,774,438x = 16,045,688 × 16,045,688
  4. Step 4: Simplify right side
    7,774,438x = 257,464,103,393,344
  5. Step 5: Solve for x
    x = 257,464,103,393,344/7,774,438
  6. Step 6: Final answer
    x = 33,116,747.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.