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Finding the Third Proportional to 215,329,368 and 472,346,967

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Solution

The third proportional to 215,329,368 and 472,346,967 is: 1,036,141,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,329,368 : 472,346,967 = 472,346,967 : x
  2. Step 2: Convert to fraction form
    215,329,368/472,346,967 = 472,346,967/x
  3. Step 3: Cross multiply
    215,329,368x = 472,346,967 × 472,346,967
  4. Step 4: Simplify right side
    215,329,368x = 223,111,657,234,099,104
  5. Step 5: Solve for x
    x = 223,111,657,234,099,104/215,329,368
  6. Step 6: Final answer
    x = 1,036,141,327.62

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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.