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Finding the Third Proportional to 292,997,687,689 and 610,073,807,896

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Solution

The third proportional to 292,997,687,689 and 610,073,807,896 is: 1,270,283,236,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,997,687,689 : 610,073,807,896 = 610,073,807,896 : x
  2. Step 2: Convert to fraction form
    292,997,687,689/610,073,807,896 = 610,073,807,896/x
  3. Step 3: Cross multiply
    292,997,687,689x = 610,073,807,896 × 610,073,807,896
  4. Step 4: Simplify right side
    292,997,687,689x = 372,190,051,080,725,516,517,376
  5. Step 5: Solve for x
    x = 372,190,051,080,725,516,517,376/292,997,687,689
  6. Step 6: Final answer
    x = 1,270,283,236,759.82

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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.