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Finding the Third Proportional to 536,235,030.56 and 1,154,639,918.81

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Solution

The third proportional to 536,235,030.56 and 1,154,639,918.81 is: 2,486,210,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,235,030.56 : 1,154,639,918.81 = 1,154,639,918.81 : x
  2. Step 2: Convert to fraction form
    536,235,030.56/1,154,639,918.81 = 1,154,639,918.81/x
  3. Step 3: Cross multiply
    536,235,030.56x = 1,154,639,918.81 × 1,154,639,918.81
  4. Step 4: Simplify right side
    536,235,030.56x = 1,333,193,342,115,336,704
  5. Step 5: Solve for x
    x = 1,333,193,342,115,336,704/536,235,030.56
  6. Step 6: Final answer
    x = 2,486,210,833.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.