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Finding the Third Proportional to 530,801,979,852 and 1,169,798,306,256

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Solution

The third proportional to 530,801,979,852 and 1,169,798,306,256 is: 2,578,038,758,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,801,979,852 : 1,169,798,306,256 = 1,169,798,306,256 : x
  2. Step 2: Convert to fraction form
    530,801,979,852/1,169,798,306,256 = 1,169,798,306,256/x
  3. Step 3: Cross multiply
    530,801,979,852x = 1,169,798,306,256 × 1,169,798,306,256
  4. Step 4: Simplify right side
    530,801,979,852x = 1,368,428,077,319,406,485,504,000
  5. Step 5: Solve for x
    x = 1,368,428,077,319,406,485,504,000/530,801,979,852
  6. Step 6: Final answer
    x = 2,578,038,758,824.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.