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Finding the Third Proportional to 245,520,990 and 531,907,533

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Solution

The third proportional to 245,520,990 and 531,907,533 is: 1,152,348,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,520,990 : 531,907,533 = 531,907,533 : x
  2. Step 2: Convert to fraction form
    245,520,990/531,907,533 = 531,907,533/x
  3. Step 3: Cross multiply
    245,520,990x = 531,907,533 × 531,907,533
  4. Step 4: Simplify right side
    245,520,990x = 282,925,623,662,146,080
  5. Step 5: Solve for x
    x = 282,925,623,662,146,080/245,520,990
  6. Step 6: Final answer
    x = 1,152,348,007.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.