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Finding the Third Proportional to 8,516,420,944 and 18,638,312,032

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Solution

The third proportional to 8,516,420,944 and 18,638,312,032 is: 40,790,219,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516,420,944 : 18,638,312,032 = 18,638,312,032 : x
  2. Step 2: Convert to fraction form
    8,516,420,944/18,638,312,032 = 18,638,312,032/x
  3. Step 3: Cross multiply
    8,516,420,944x = 18,638,312,032 × 18,638,312,032
  4. Step 4: Simplify right side
    8,516,420,944x = 347,386,675,402,195,992,576
  5. Step 5: Solve for x
    x = 347,386,675,402,195,992,576/8,516,420,944
  6. Step 6: Final answer
    x = 40,790,219,000.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.