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Finding the Third Proportional to 13,771,548 and 21,249,823

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Solution

The third proportional to 13,771,548 and 21,249,823 is: 32,788,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771,548 : 21,249,823 = 21,249,823 : x
  2. Step 2: Convert to fraction form
    13,771,548/21,249,823 = 21,249,823/x
  3. Step 3: Cross multiply
    13,771,548x = 21,249,823 × 21,249,823
  4. Step 4: Simplify right side
    13,771,548x = 451,554,977,531,329
  5. Step 5: Solve for x
    x = 451,554,977,531,329/13,771,548
  6. Step 6: Final answer
    x = 32,788,977.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.