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Finding the Third Proportional to 215,329,365.38 and 472,346,960.63

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Solution

The third proportional to 215,329,365.38 and 472,346,960.63 is: 1,036,141,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,329,365.38 : 472,346,960.63 = 472,346,960.63 : x
  2. Step 2: Convert to fraction form
    215,329,365.38/472,346,960.63 = 472,346,960.63/x
  3. Step 3: Cross multiply
    215,329,365.38x = 472,346,960.63 × 472,346,960.63
  4. Step 4: Simplify right side
    215,329,365.38x = 223,111,651,211,675,296
  5. Step 5: Solve for x
    x = 223,111,651,211,675,296/215,329,365.38
  6. Step 6: Final answer
    x = 1,036,141,312.28

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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.