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Finding the Third Proportional to 30,105,243 and 47,849,514

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Solution

The third proportional to 30,105,243 and 47,849,514 is: 76,052,400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105,243 : 47,849,514 = 47,849,514 : x
  2. Step 2: Convert to fraction form
    30,105,243/47,849,514 = 47,849,514/x
  3. Step 3: Cross multiply
    30,105,243x = 47,849,514 × 47,849,514
  4. Step 4: Simplify right side
    30,105,243x = 2,289,575,990,036,196
  5. Step 5: Solve for x
    x = 2,289,575,990,036,196/30,105,243
  6. Step 6: Final answer
    x = 76,052,400.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.