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Finding the Third Proportional to 21,866,584,338 and 32,656,586,454

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Solution

The third proportional to 21,866,584,338 and 32,656,586,454 is: 48,770,883,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866,584,338 : 32,656,586,454 = 32,656,586,454 : x
  2. Step 2: Convert to fraction form
    21,866,584,338/32,656,586,454 = 32,656,586,454/x
  3. Step 3: Cross multiply
    21,866,584,338x = 32,656,586,454 × 32,656,586,454
  4. Step 4: Simplify right side
    21,866,584,338x = 1,066,452,638,827,576,295,424
  5. Step 5: Solve for x
    x = 1,066,452,638,827,576,295,424/21,866,584,338
  6. Step 6: Final answer
    x = 48,770,883,570.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.