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Finding the Third Proportional to 9,865,499,002 and 23,020,293,168

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Solution

The third proportional to 9,865,499,002 and 23,020,293,168 is: 53,715,873,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865,499,002 : 23,020,293,168 = 23,020,293,168 : x
  2. Step 2: Convert to fraction form
    9,865,499,002/23,020,293,168 = 23,020,293,168/x
  3. Step 3: Cross multiply
    9,865,499,002x = 23,020,293,168 × 23,020,293,168
  4. Step 4: Simplify right side
    9,865,499,002x = 529,933,897,540,667,506,688
  5. Step 5: Solve for x
    x = 529,933,897,540,667,506,688/9,865,499,002
  6. Step 6: Final answer
    x = 53,715,873,615.03

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.