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Finding the Third Proportional to 15,706,872,183 and 25,004,820,309.75

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Solution

The third proportional to 15,706,872,183 and 25,004,820,309.75 is: 39,806,845,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706,872,183 : 25,004,820,309.75 = 25,004,820,309.75 : x
  2. Step 2: Convert to fraction form
    15,706,872,183/25,004,820,309.75 = 25,004,820,309.75/x
  3. Step 3: Cross multiply
    15,706,872,183x = 25,004,820,309.75 × 25,004,820,309.75
  4. Step 4: Simplify right side
    15,706,872,183x = 625,241,038,722,886,139,904
  5. Step 5: Solve for x
    x = 625,241,038,722,886,139,904/15,706,872,183
  6. Step 6: Final answer
    x = 39,806,845,783.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.