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Finding the Third Proportional to 30,251,038.50 and 45,736,731

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Solution

The third proportional to 30,251,038.50 and 45,736,731 is: 69,149,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,251,038.50 : 45,736,731 = 45,736,731 : x
  2. Step 2: Convert to fraction form
    30,251,038.50/45,736,731 = 45,736,731/x
  3. Step 3: Cross multiply
    30,251,038.50x = 45,736,731 × 45,736,731
  4. Step 4: Simplify right side
    30,251,038.50x = 2,091,848,562,566,361
  5. Step 5: Solve for x
    x = 2,091,848,562,566,361/30,251,038.50
  6. Step 6: Final answer
    x = 69,149,644.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.