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Finding the Third Proportional to 53,559,970.50 and 75,424,240.50

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Solution

The third proportional to 53,559,970.50 and 75,424,240.50 is: 106,213,950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,559,970.50 : 75,424,240.50 = 75,424,240.50 : x
  2. Step 2: Convert to fraction form
    53,559,970.50/75,424,240.50 = 75,424,240.50/x
  3. Step 3: Cross multiply
    53,559,970.50x = 75,424,240.50 × 75,424,240.50
  4. Step 4: Simplify right side
    53,559,970.50x = 5,688,816,055,001,840
  5. Step 5: Solve for x
    x = 5,688,816,055,001,840/53,559,970.50
  6. Step 6: Final answer
    x = 106,213,950.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.