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Finding the Third Proportional to 2,985,312 and 6,442,176

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Solution

The third proportional to 2,985,312 and 6,442,176 is: 13,901,941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985,312 : 6,442,176 = 6,442,176 : x
  2. Step 2: Convert to fraction form
    2,985,312/6,442,176 = 6,442,176/x
  3. Step 3: Cross multiply
    2,985,312x = 6,442,176 × 6,442,176
  4. Step 4: Simplify right side
    2,985,312x = 41,501,631,614,976
  5. Step 5: Solve for x
    x = 41,501,631,614,976/2,985,312
  6. Step 6: Final answer
    x = 13,901,941.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.