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Finding the Third Proportional to 1,079,661,843,623 and 2,248,686,662,980

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Solution

The third proportional to 1,079,661,843,623 and 2,248,686,662,980 is: 4,683,495,798,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079,661,843,623 : 2,248,686,662,980 = 2,248,686,662,980 : x
  2. Step 2: Convert to fraction form
    1,079,661,843,623/2,248,686,662,980 = 2,248,686,662,980/x
  3. Step 3: Cross multiply
    1,079,661,843,623x = 2,248,686,662,980 × 2,248,686,662,980
  4. Step 4: Simplify right side
    1,079,661,843,623x = 5,056,591,708,264,127,656,886,272
  5. Step 5: Solve for x
    x = 5,056,591,708,264,127,656,886,272/1,079,661,843,623
  6. Step 6: Final answer
    x = 4,683,495,798,365.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.