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Finding the Third Proportional to 260,467,007,641 and 564,205,535,827

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Solution

The third proportional to 260,467,007,641 and 564,205,535,827 is: 1,222,142,833,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,467,007,641 : 564,205,535,827 = 564,205,535,827 : x
  2. Step 2: Convert to fraction form
    260,467,007,641/564,205,535,827 = 564,205,535,827/x
  3. Step 3: Cross multiply
    260,467,007,641x = 564,205,535,827 × 564,205,535,827
  4. Step 4: Simplify right side
    260,467,007,641x = 318,327,886,657,832,181,825,536
  5. Step 5: Solve for x
    x = 318,327,886,657,832,181,825,536/260,467,007,641
  6. Step 6: Final answer
    x = 1,222,142,833,139.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.