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Finding the Third Proportional to 242,332,140 and 521,615,832

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Solution

The third proportional to 242,332,140 and 521,615,832 is: 1,122,769,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,332,140 : 521,615,832 = 521,615,832 : x
  2. Step 2: Convert to fraction form
    242,332,140/521,615,832 = 521,615,832/x
  3. Step 3: Cross multiply
    242,332,140x = 521,615,832 × 521,615,832
  4. Step 4: Simplify right side
    242,332,140x = 272,083,076,193,052,224
  5. Step 5: Solve for x
    x = 272,083,076,193,052,224/242,332,140
  6. Step 6: Final answer
    x = 1,122,769,254.60

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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.