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Finding the Third Proportional to 1,033,642,083 and 1,551,219,100.50

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Solution

The third proportional to 1,033,642,083 and 1,551,219,100.50 is: 2,327,963,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,642,083 : 1,551,219,100.50 = 1,551,219,100.50 : x
  2. Step 2: Convert to fraction form
    1,033,642,083/1,551,219,100.50 = 1,551,219,100.50/x
  3. Step 3: Cross multiply
    1,033,642,083x = 1,551,219,100.50 × 1,551,219,100.50
  4. Step 4: Simplify right side
    1,033,642,083x = 2,406,280,697,756,028,928
  5. Step 5: Solve for x
    x = 2,406,280,697,756,028,928/1,033,642,083
  6. Step 6: Final answer
    x = 2,327,963,167.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.