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Finding the Third Proportional to 552,016,634.55 and 828,429,071.27

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Solution

The third proportional to 552,016,634.55 and 828,429,071.27 is: 1,243,250,081.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,016,634.55 : 828,429,071.27 = 828,429,071.27 : x
  2. Step 2: Convert to fraction form
    552,016,634.55/828,429,071.27 = 828,429,071.27/x
  3. Step 3: Cross multiply
    552,016,634.55x = 828,429,071.27 × 828,429,071.27
  4. Step 4: Simplify right side
    552,016,634.55x = 686,294,726,130,908,032
  5. Step 5: Solve for x
    x = 686,294,726,130,908,032/552,016,634.55
  6. Step 6: Final answer
    x = 1,243,250,081.92

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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.