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Finding the Third Proportional to 552,016,635 and 828,429,072

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Solution

The third proportional to 552,016,635 and 828,429,072 is: 1,243,250,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,016,635 : 828,429,072 = 828,429,072 : x
  2. Step 2: Convert to fraction form
    552,016,635/828,429,072 = 828,429,072/x
  3. Step 3: Cross multiply
    552,016,635x = 828,429,072 × 828,429,072
  4. Step 4: Simplify right side
    552,016,635x = 686,294,727,334,781,184
  5. Step 5: Solve for x
    x = 686,294,727,334,781,184/552,016,635
  6. Step 6: Final answer
    x = 1,243,250,083.10

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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.