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Finding the Third Proportional to 42,731,893,644 and 90,990,507,966

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Solution

The third proportional to 42,731,893,644 and 90,990,507,966 is: 193,749,254,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,731,893,644 : 90,990,507,966 = 90,990,507,966 : x
  2. Step 2: Convert to fraction form
    42,731,893,644/90,990,507,966 = 90,990,507,966/x
  3. Step 3: Cross multiply
    42,731,893,644x = 90,990,507,966 × 90,990,507,966
  4. Step 4: Simplify right side
    42,731,893,644x = 8,279,272,539,910,709,444,608
  5. Step 5: Solve for x
    x = 8,279,272,539,910,709,444,608/42,731,893,644
  6. Step 6: Final answer
    x = 193,749,254,570.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.