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Finding the Third Proportional to 12,742,191 and 19,114,623

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Solution

The third proportional to 12,742,191 and 19,114,623 is: 28,673,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742,191 : 19,114,623 = 19,114,623 : x
  2. Step 2: Convert to fraction form
    12,742,191/19,114,623 = 19,114,623/x
  3. Step 3: Cross multiply
    12,742,191x = 19,114,623 × 19,114,623
  4. Step 4: Simplify right side
    12,742,191x = 365,368,812,432,129
  5. Step 5: Solve for x
    x = 365,368,812,432,129/12,742,191
  6. Step 6: Final answer
    x = 28,673,939.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.