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Finding the Third Proportional to 121,835,802,012 and 267,207,433,176

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Solution

The third proportional to 121,835,802,012 and 267,207,433,176 is: 586,033,096,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,835,802,012 : 267,207,433,176 = 267,207,433,176 : x
  2. Step 2: Convert to fraction form
    121,835,802,012/267,207,433,176 = 267,207,433,176/x
  3. Step 3: Cross multiply
    121,835,802,012x = 267,207,433,176 × 267,207,433,176
  4. Step 4: Simplify right side
    121,835,802,012x = 71,399,812,344,506,501,562,368
  5. Step 5: Solve for x
    x = 71,399,812,344,506,501,562,368/121,835,802,012
  6. Step 6: Final answer
    x = 586,033,096,720.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.