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Finding the Third Proportional to 306,150,013 and 472,759,333.50

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Solution

The third proportional to 306,150,013 and 472,759,333.50 is: 730,038,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,150,013 : 472,759,333.50 = 472,759,333.50 : x
  2. Step 2: Convert to fraction form
    306,150,013/472,759,333.50 = 472,759,333.50/x
  3. Step 3: Cross multiply
    306,150,013x = 472,759,333.50 × 472,759,333.50
  4. Step 4: Simplify right side
    306,150,013x = 223,501,387,411,364,224
  5. Step 5: Solve for x
    x = 223,501,387,411,364,224/306,150,013
  6. Step 6: Final answer
    x = 730,038,797.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.