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Finding the Third Proportional to 14,346,439 and 30,739,582

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Solution

The third proportional to 14,346,439 and 30,739,582 is: 65,864,560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,346,439 : 30,739,582 = 30,739,582 : x
  2. Step 2: Convert to fraction form
    14,346,439/30,739,582 = 30,739,582/x
  3. Step 3: Cross multiply
    14,346,439x = 30,739,582 × 30,739,582
  4. Step 4: Simplify right side
    14,346,439x = 944,921,901,534,724
  5. Step 5: Solve for x
    x = 944,921,901,534,724/14,346,439
  6. Step 6: Final answer
    x = 65,864,560.64

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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.