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Finding the Third Proportional to 538,435,615 and 1,171,210,755.50

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Solution

The third proportional to 538,435,615 and 1,171,210,755.50 is: 2,547,629,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,435,615 : 1,171,210,755.50 = 1,171,210,755.50 : x
  2. Step 2: Convert to fraction form
    538,435,615/1,171,210,755.50 = 1,171,210,755.50/x
  3. Step 3: Cross multiply
    538,435,615x = 1,171,210,755.50 × 1,171,210,755.50
  4. Step 4: Simplify right side
    538,435,615x = 1,371,734,633,798,880,768
  5. Step 5: Solve for x
    x = 1,371,734,633,798,880,768/538,435,615
  6. Step 6: Final answer
    x = 2,547,629,829.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.