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Finding the Third Proportional to 535,842,986.81 and 1,153,791,147.56

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Solution

The third proportional to 535,842,986.81 and 1,153,791,147.56 is: 2,484,373,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,842,986.81 : 1,153,791,147.56 = 1,153,791,147.56 : x
  2. Step 2: Convert to fraction form
    535,842,986.81/1,153,791,147.56 = 1,153,791,147.56/x
  3. Step 3: Cross multiply
    535,842,986.81x = 1,153,791,147.56 × 1,153,791,147.56
  4. Step 4: Simplify right side
    535,842,986.81x = 1,331,234,012,193,590,528
  5. Step 5: Solve for x
    x = 1,331,234,012,193,590,528/535,842,986.81
  6. Step 6: Final answer
    x = 2,484,373,305.16

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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.