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Finding the Third Proportional to 233,214,370 and 510,361,410

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Solution

The third proportional to 233,214,370 and 510,361,410 is: 1,116,864,148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,214,370 : 510,361,410 = 510,361,410 : x
  2. Step 2: Convert to fraction form
    233,214,370/510,361,410 = 510,361,410/x
  3. Step 3: Cross multiply
    233,214,370x = 510,361,410 × 510,361,410
  4. Step 4: Simplify right side
    233,214,370x = 260,468,768,817,188,096
  5. Step 5: Solve for x
    x = 260,468,768,817,188,096/233,214,370
  6. Step 6: Final answer
    x = 1,116,864,148.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.