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Finding the Third Proportional to 404,715,883,074 and 899,920,461,129

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Solution

The third proportional to 404,715,883,074 and 899,920,461,129 is: 2,001,050,292,880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,715,883,074 : 899,920,461,129 = 899,920,461,129 : x
  2. Step 2: Convert to fraction form
    404,715,883,074/899,920,461,129 = 899,920,461,129/x
  3. Step 3: Cross multiply
    404,715,883,074x = 899,920,461,129 × 899,920,461,129
  4. Step 4: Simplify right side
    404,715,883,074x = 809,856,836,358,631,946,452,992
  5. Step 5: Solve for x
    x = 809,856,836,358,631,946,452,992/404,715,883,074
  6. Step 6: Final answer
    x = 2,001,050,292,880.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.