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Finding the Third Proportional to 215,536,491.56 and 471,877,641.56

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Solution

The third proportional to 215,536,491.56 and 471,877,641.56 is: 1,033,089,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,536,491.56 : 471,877,641.56 = 471,877,641.56 : x
  2. Step 2: Convert to fraction form
    215,536,491.56/471,877,641.56 = 471,877,641.56/x
  3. Step 3: Cross multiply
    215,536,491.56x = 471,877,641.56 × 471,877,641.56
  4. Step 4: Simplify right side
    215,536,491.56x = 222,668,508,606,587,232
  5. Step 5: Solve for x
    x = 222,668,508,606,587,232/215,536,491.56
  6. Step 6: Final answer
    x = 1,033,089,603.49

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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.