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Finding the Third Proportional to 3,328,133,065,185 and 7,157,138,712,274

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Solution

The third proportional to 3,328,133,065,185 and 7,157,138,712,274 is: 15,391,402,189,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328,133,065,185 : 7,157,138,712,274 = 7,157,138,712,274 : x
  2. Step 2: Convert to fraction form
    3,328,133,065,185/7,157,138,712,274 = 7,157,138,712,274/x
  3. Step 3: Cross multiply
    3,328,133,065,185x = 7,157,138,712,274 × 7,157,138,712,274
  4. Step 4: Simplify right side
    3,328,133,065,185x = 51,224,634,546,731,132,886,450,176
  5. Step 5: Solve for x
    x = 51,224,634,546,731,132,886,450,176/3,328,133,065,185
  6. Step 6: Final answer
    x = 15,391,402,189,588.75

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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.