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Finding the Third Proportional to 319,775,512,332 and 711,048,265,118

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Solution

The third proportional to 319,775,512,332 and 711,048,265,118 is: 1,581,076,773,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,775,512,332 : 711,048,265,118 = 711,048,265,118 : x
  2. Step 2: Convert to fraction form
    319,775,512,332/711,048,265,118 = 711,048,265,118/x
  3. Step 3: Cross multiply
    319,775,512,332x = 711,048,265,118 × 711,048,265,118
  4. Step 4: Simplify right side
    319,775,512,332x = 505,589,635,327,317,594,079,232
  5. Step 5: Solve for x
    x = 505,589,635,327,317,594,079,232/319,775,512,332
  6. Step 6: Final answer
    x = 1,581,076,773,641.13

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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.