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Finding the Third Proportional to 543,541,898.81 and 831,121,030.97

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Solution

The third proportional to 543,541,898.81 and 831,121,030.97 is: 1,270,853,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,541,898.81 : 831,121,030.97 = 831,121,030.97 : x
  2. Step 2: Convert to fraction form
    543,541,898.81/831,121,030.97 = 831,121,030.97/x
  3. Step 3: Cross multiply
    543,541,898.81x = 831,121,030.97 × 831,121,030.97
  4. Step 4: Simplify right side
    543,541,898.81x = 690,762,168,118,557,952
  5. Step 5: Solve for x
    x = 690,762,168,118,557,952/543,541,898.81
  6. Step 6: Final answer
    x = 1,270,853,580.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.