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Finding the Third Proportional to 47,890,572 and 105,051,837.75

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Solution

The third proportional to 47,890,572 and 105,051,837.75 is: 230,439,691.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,890,572 : 105,051,837.75 = 105,051,837.75 : x
  2. Step 2: Convert to fraction form
    47,890,572/105,051,837.75 = 105,051,837.75/x
  3. Step 3: Cross multiply
    47,890,572x = 105,051,837.75 × 105,051,837.75
  4. Step 4: Simplify right side
    47,890,572x = 11,035,888,614,652,326
  5. Step 5: Solve for x
    x = 11,035,888,614,652,326/47,890,572
  6. Step 6: Final answer
    x = 230,439,691.02

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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.