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Finding the Third Proportional to 7,837,424,909 and 16,921,613,806

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Solution

The third proportional to 7,837,424,909 and 16,921,613,806 is: 36,535,088,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837,424,909 : 16,921,613,806 = 16,921,613,806 : x
  2. Step 2: Convert to fraction form
    7,837,424,909/16,921,613,806 = 16,921,613,806/x
  3. Step 3: Cross multiply
    7,837,424,909x = 16,921,613,806 × 16,921,613,806
  4. Step 4: Simplify right side
    7,837,424,909x = 286,341,013,799,409,811,456
  5. Step 5: Solve for x
    x = 286,341,013,799,409,811,456/7,837,424,909
  6. Step 6: Final answer
    x = 36,535,088,645.07

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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.