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Finding the Third Proportional to 6,789,528 and 14,549,814

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Solution

The third proportional to 6,789,528 and 14,549,814 is: 31,179,941.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789,528 : 14,549,814 = 14,549,814 : x
  2. Step 2: Convert to fraction form
    6,789,528/14,549,814 = 14,549,814/x
  3. Step 3: Cross multiply
    6,789,528x = 14,549,814 × 14,549,814
  4. Step 4: Simplify right side
    6,789,528x = 211,697,087,434,596
  5. Step 5: Solve for x
    x = 211,697,087,434,596/6,789,528
  6. Step 6: Final answer
    x = 31,179,941.73

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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.