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Finding the Third Proportional to 121,065,426,695.25 and 260,097,352,425

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Solution

The third proportional to 121,065,426,695.25 and 260,097,352,425 is: 558,793,989,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,065,426,695.25 : 260,097,352,425 = 260,097,352,425 : x
  2. Step 2: Convert to fraction form
    121,065,426,695.25/260,097,352,425 = 260,097,352,425/x
  3. Step 3: Cross multiply
    121,065,426,695.25x = 260,097,352,425 × 260,097,352,425
  4. Step 4: Simplify right side
    121,065,426,695.25x = 67,650,632,738,494,656,544,768
  5. Step 5: Solve for x
    x = 67,650,632,738,494,656,544,768/121,065,426,695.25
  6. Step 6: Final answer
    x = 558,793,989,210.37

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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.