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Finding the Third Proportional to 114,866,770 and 245,879,774

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Solution

The third proportional to 114,866,770 and 245,879,774 is: 526,321,609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,866,770 : 245,879,774 = 245,879,774 : x
  2. Step 2: Convert to fraction form
    114,866,770/245,879,774 = 245,879,774/x
  3. Step 3: Cross multiply
    114,866,770x = 245,879,774 × 245,879,774
  4. Step 4: Simplify right side
    114,866,770x = 60,456,863,262,291,072
  5. Step 5: Solve for x
    x = 60,456,863,262,291,072/114,866,770
  6. Step 6: Final answer
    x = 526,321,609.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.