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Finding the Third Proportional to 215,724,636 and 471,807,972

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Solution

The third proportional to 215,724,636 and 471,807,972 is: 1,031,883,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,724,636 : 471,807,972 = 471,807,972 : x
  2. Step 2: Convert to fraction form
    215,724,636/471,807,972 = 471,807,972/x
  3. Step 3: Cross multiply
    215,724,636x = 471,807,972 × 471,807,972
  4. Step 4: Simplify right side
    215,724,636x = 222,602,762,442,752,768
  5. Step 5: Solve for x
    x = 222,602,762,442,752,768/215,724,636
  6. Step 6: Final answer
    x = 1,031,883,824.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.