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Finding the Third Proportional to 121,065,426,680 and 260,097,352,395

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Solution

The third proportional to 121,065,426,680 and 260,097,352,395 is: 558,793,989,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,065,426,680 : 260,097,352,395 = 260,097,352,395 : x
  2. Step 2: Convert to fraction form
    121,065,426,680/260,097,352,395 = 260,097,352,395/x
  3. Step 3: Cross multiply
    121,065,426,680x = 260,097,352,395 × 260,097,352,395
  4. Step 4: Simplify right side
    121,065,426,680x = 67,650,632,722,888,808,988,672
  5. Step 5: Solve for x
    x = 67,650,632,722,888,808,988,672/121,065,426,680
  6. Step 6: Final answer
    x = 558,793,989,151.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.