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Finding the Third Proportional to 413,244,996 and 899,128,128

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Solution

The third proportional to 413,244,996 and 899,128,128 is: 1,956,300,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,244,996 : 899,128,128 = 899,128,128 : x
  2. Step 2: Convert to fraction form
    413,244,996/899,128,128 = 899,128,128/x
  3. Step 3: Cross multiply
    413,244,996x = 899,128,128 × 899,128,128
  4. Step 4: Simplify right side
    413,244,996x = 808,431,390,560,784,384
  5. Step 5: Solve for x
    x = 808,431,390,560,784,384/413,244,996
  6. Step 6: Final answer
    x = 1,956,300,495.80

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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.