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Finding the Third Proportional to 12,156,646 and 19,249,741

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Solution

The third proportional to 12,156,646 and 19,249,741 is: 30,481,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156,646 : 19,249,741 = 19,249,741 : x
  2. Step 2: Convert to fraction form
    12,156,646/19,249,741 = 19,249,741/x
  3. Step 3: Cross multiply
    12,156,646x = 19,249,741 × 19,249,741
  4. Step 4: Simplify right side
    12,156,646x = 370,552,528,567,081
  5. Step 5: Solve for x
    x = 370,552,528,567,081/12,156,646
  6. Step 6: Final answer
    x = 30,481,477.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.