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Finding the Third Proportional to 1,378,186,693 and 2,118,371,923.50

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Solution

The third proportional to 1,378,186,693 and 2,118,371,923.50 is: 3,256,089,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,186,693 : 2,118,371,923.50 = 2,118,371,923.50 : x
  2. Step 2: Convert to fraction form
    1,378,186,693/2,118,371,923.50 = 2,118,371,923.50/x
  3. Step 3: Cross multiply
    1,378,186,693x = 2,118,371,923.50 × 2,118,371,923.50
  4. Step 4: Simplify right side
    1,378,186,693x = 4,487,499,606,273,090,048
  5. Step 5: Solve for x
    x = 4,487,499,606,273,090,048/1,378,186,693
  6. Step 6: Final answer
    x = 3,256,089,780.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.