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Finding the Third Proportional to 12,156,724 and 19,249,854

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Solution

The third proportional to 12,156,724 and 19,249,854 is: 30,481,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156,724 : 19,249,854 = 19,249,854 : x
  2. Step 2: Convert to fraction form
    12,156,724/19,249,854 = 19,249,854/x
  3. Step 3: Cross multiply
    12,156,724x = 19,249,854 × 19,249,854
  4. Step 4: Simplify right side
    12,156,724x = 370,556,879,021,316
  5. Step 5: Solve for x
    x = 370,556,879,021,316/12,156,724
  6. Step 6: Final answer
    x = 30,481,639.55

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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.