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Finding the Third Proportional to 260,467,007,537 and 564,205,535,617

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Solution

The third proportional to 260,467,007,537 and 564,205,535,617 is: 1,222,142,832,718.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,467,007,537 : 564,205,535,617 = 564,205,535,617 : x
  2. Step 2: Convert to fraction form
    260,467,007,537/564,205,535,617 = 564,205,535,617/x
  3. Step 3: Cross multiply
    260,467,007,537x = 564,205,535,617 × 564,205,535,617
  4. Step 4: Simplify right side
    260,467,007,537x = 318,327,886,420,865,884,094,464
  5. Step 5: Solve for x
    x = 318,327,886,420,865,884,094,464/260,467,007,537
  6. Step 6: Final answer
    x = 1,222,142,832,718.06

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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.