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Finding the Third Proportional to 6,989,038 and 14,949,614

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Solution

The third proportional to 6,989,038 and 14,949,614 is: 31,977,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989,038 : 14,949,614 = 14,949,614 : x
  2. Step 2: Convert to fraction form
    6,989,038/14,949,614 = 14,949,614/x
  3. Step 3: Cross multiply
    6,989,038x = 14,949,614 × 14,949,614
  4. Step 4: Simplify right side
    6,989,038x = 223,490,958,748,996
  5. Step 5: Solve for x
    x = 223,490,958,748,996/6,989,038
  6. Step 6: Final answer
    x = 31,977,356.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.