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Finding the Third Proportional to 61,686,420.75 and 135,480,332.25

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Solution

The third proportional to 61,686,420.75 and 135,480,332.25 is: 297,552,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,686,420.75 : 135,480,332.25 = 135,480,332.25 : x
  2. Step 2: Convert to fraction form
    61,686,420.75/135,480,332.25 = 135,480,332.25/x
  3. Step 3: Cross multiply
    61,686,420.75x = 135,480,332.25 × 135,480,332.25
  4. Step 4: Simplify right side
    61,686,420.75x = 18,354,920,426,570,392
  5. Step 5: Solve for x
    x = 18,354,920,426,570,392/61,686,420.75
  6. Step 6: Final answer
    x = 297,552,041.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.