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Finding the Third Proportional to 22,175,233,727,854 and 32,598,577,302,603

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Solution

The third proportional to 22,175,233,727,854 and 32,598,577,302,603 is: 47,921,354,750,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,175,233,727,854 : 32,598,577,302,603 = 32,598,577,302,603 : x
  2. Step 2: Convert to fraction form
    22,175,233,727,854/32,598,577,302,603 = 32,598,577,302,603/x
  3. Step 3: Cross multiply
    22,175,233,727,854x = 32,598,577,302,603 × 32,598,577,302,603
  4. Step 4: Simplify right side
    22,175,233,727,854x = 1,062,667,242,153,783,429,280,301,056
  5. Step 5: Solve for x
    x = 1,062,667,242,153,783,429,280,301,056/22,175,233,727,854
  6. Step 6: Final answer
    x = 47,921,354,750,772.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.