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Finding the Third Proportional to 5,303,326,137 and 7,373,851,090

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Solution

The third proportional to 5,303,326,137 and 7,373,851,090 is: 10,252,750,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303,326,137 : 7,373,851,090 = 7,373,851,090 : x
  2. Step 2: Convert to fraction form
    5,303,326,137/7,373,851,090 = 7,373,851,090/x
  3. Step 3: Cross multiply
    5,303,326,137x = 7,373,851,090 × 7,373,851,090
  4. Step 4: Simplify right side
    5,303,326,137x = 54,373,679,897,494,192,128
  5. Step 5: Solve for x
    x = 54,373,679,897,494,192,128/5,303,326,137
  6. Step 6: Final answer
    x = 10,252,750,536.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.