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Finding the Third Proportional to 6,249,431 and 13,699,534

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Solution

The third proportional to 6,249,431 and 13,699,534 is: 30,031,091.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249,431 : 13,699,534 = 13,699,534 : x
  2. Step 2: Convert to fraction form
    6,249,431/13,699,534 = 13,699,534/x
  3. Step 3: Cross multiply
    6,249,431x = 13,699,534 × 13,699,534
  4. Step 4: Simplify right side
    6,249,431x = 187,677,231,817,156
  5. Step 5: Solve for x
    x = 187,677,231,817,156/6,249,431
  6. Step 6: Final answer
    x = 30,031,091.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.