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Finding the Third Proportional to 215,329,369 and 472,346,968

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Solution

The third proportional to 215,329,369 and 472,346,968 is: 1,036,141,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,329,369 : 472,346,968 = 472,346,968 : x
  2. Step 2: Convert to fraction form
    215,329,369/472,346,968 = 472,346,968/x
  3. Step 3: Cross multiply
    215,329,369x = 472,346,968 × 472,346,968
  4. Step 4: Simplify right side
    215,329,369x = 223,111,658,178,793,024
  5. Step 5: Solve for x
    x = 223,111,658,178,793,024/215,329,369
  6. Step 6: Final answer
    x = 1,036,141,327.19

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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.