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Finding the Third Proportional to 3,328,133,065,192 and 7,157,138,712,288

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Solution

The third proportional to 3,328,133,065,192 and 7,157,138,712,288 is: 15,391,402,189,616.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328,133,065,192 : 7,157,138,712,288 = 7,157,138,712,288 : x
  2. Step 2: Convert to fraction form
    3,328,133,065,192/7,157,138,712,288 = 7,157,138,712,288/x
  3. Step 3: Cross multiply
    3,328,133,065,192x = 7,157,138,712,288 × 7,157,138,712,288
  4. Step 4: Simplify right side
    3,328,133,065,192x = 51,224,634,546,931,527,470,546,944
  5. Step 5: Solve for x
    x = 51,224,634,546,931,527,470,546,944/3,328,133,065,192
  6. Step 6: Final answer
    x = 15,391,402,189,616.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.