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Finding the Third Proportional to 530,509,833 and 1,141,641,234

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Solution

The third proportional to 530,509,833 and 1,141,641,234 is: 2,456,777,661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,509,833 : 1,141,641,234 = 1,141,641,234 : x
  2. Step 2: Convert to fraction form
    530,509,833/1,141,641,234 = 1,141,641,234/x
  3. Step 3: Cross multiply
    530,509,833x = 1,141,641,234 × 1,141,641,234
  4. Step 4: Simplify right side
    530,509,833x = 1,303,344,707,169,042,688
  5. Step 5: Solve for x
    x = 1,303,344,707,169,042,688/530,509,833
  6. Step 6: Final answer
    x = 2,456,777,661.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.