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Finding the Third Proportional to 25,875,731,978 and 39,748,292,772

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Solution

The third proportional to 25,875,731,978 and 39,748,292,772 is: 61,058,244,830.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,875,731,978 : 39,748,292,772 = 39,748,292,772 : x
  2. Step 2: Convert to fraction form
    25,875,731,978/39,748,292,772 = 39,748,292,772/x
  3. Step 3: Cross multiply
    25,875,731,978x = 39,748,292,772 × 39,748,292,772
  4. Step 4: Simplify right side
    25,875,731,978x = 1,579,926,778,288,627,515,392
  5. Step 5: Solve for x
    x = 1,579,926,778,288,627,515,392/25,875,731,978
  6. Step 6: Final answer
    x = 61,058,244,830.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.