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Finding the Third Proportional to 319,775,512,295 and 711,048,265,159

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Solution

The third proportional to 319,775,512,295 and 711,048,265,159 is: 1,581,076,774,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,775,512,295 : 711,048,265,159 = 711,048,265,159 : x
  2. Step 2: Convert to fraction form
    319,775,512,295/711,048,265,159 = 711,048,265,159/x
  3. Step 3: Cross multiply
    319,775,512,295x = 711,048,265,159 × 711,048,265,159
  4. Step 4: Simplify right side
    319,775,512,295x = 505,589,635,385,623,587,061,760
  5. Step 5: Solve for x
    x = 505,589,635,385,623,587,061,760/319,775,512,295
  6. Step 6: Final answer
    x = 1,581,076,774,006.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.