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Finding the Third Proportional to 31,947,353.50 and 45,685,089.50

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Solution

The third proportional to 31,947,353.50 and 45,685,089.50 is: 65,330,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,947,353.50 : 45,685,089.50 = 45,685,089.50 : x
  2. Step 2: Convert to fraction form
    31,947,353.50/45,685,089.50 = 45,685,089.50/x
  3. Step 3: Cross multiply
    31,947,353.50x = 45,685,089.50 × 45,685,089.50
  4. Step 4: Simplify right side
    31,947,353.50x = 2,087,127,402,623,010.25
  5. Step 5: Solve for x
    x = 2,087,127,402,623,010.25/31,947,353.50
  6. Step 6: Final answer
    x = 65,330,212.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.