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Finding the Third Proportional to 4,516,818,316 and 9,784,031,324

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Solution

The third proportional to 4,516,818,316 and 9,784,031,324 is: 21,193,517,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516,818,316 : 9,784,031,324 = 9,784,031,324 : x
  2. Step 2: Convert to fraction form
    4,516,818,316/9,784,031,324 = 9,784,031,324/x
  3. Step 3: Cross multiply
    4,516,818,316x = 9,784,031,324 × 9,784,031,324
  4. Step 4: Simplify right side
    4,516,818,316x = 95,727,268,949,013,200,896
  5. Step 5: Solve for x
    x = 95,727,268,949,013,200,896/4,516,818,316
  6. Step 6: Final answer
    x = 21,193,517,704.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.