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Finding the Third Proportional to 7,837,424,906 and 16,921,613,800

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Solution

The third proportional to 7,837,424,906 and 16,921,613,800 is: 36,535,088,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837,424,906 : 16,921,613,800 = 16,921,613,800 : x
  2. Step 2: Convert to fraction form
    7,837,424,906/16,921,613,800 = 16,921,613,800/x
  3. Step 3: Cross multiply
    7,837,424,906x = 16,921,613,800 × 16,921,613,800
  4. Step 4: Simplify right side
    7,837,424,906x = 286,341,013,596,350,447,616
  5. Step 5: Solve for x
    x = 286,341,013,596,350,447,616/7,837,424,906
  6. Step 6: Final answer
    x = 36,535,088,633.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.