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Finding the Third Proportional to 49,039,242 and 105,879,567

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Solution

The third proportional to 49,039,242 and 105,879,567 is: 228,602,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,039,242 : 105,879,567 = 105,879,567 : x
  2. Step 2: Convert to fraction form
    49,039,242/105,879,567 = 105,879,567/x
  3. Step 3: Cross multiply
    49,039,242x = 105,879,567 × 105,879,567
  4. Step 4: Simplify right side
    49,039,242x = 11,210,482,708,107,488
  5. Step 5: Solve for x
    x = 11,210,482,708,107,488/49,039,242
  6. Step 6: Final answer
    x = 228,602,283.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.