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Finding the Third Proportional to 295,393,732.50 and 642,803,073

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Solution

The third proportional to 295,393,732.50 and 642,803,073 is: 1,398,796,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,393,732.50 : 642,803,073 = 642,803,073 : x
  2. Step 2: Convert to fraction form
    295,393,732.50/642,803,073 = 642,803,073/x
  3. Step 3: Cross multiply
    295,393,732.50x = 642,803,073 × 642,803,073
  4. Step 4: Simplify right side
    295,393,732.50x = 413,195,790,658,243,328
  5. Step 5: Solve for x
    x = 413,195,790,658,243,328/295,393,732.50
  6. Step 6: Final answer
    x = 1,398,796,742.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.