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Finding the Third Proportional to 7,837,424,910 and 16,921,613,808

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Solution

The third proportional to 7,837,424,910 and 16,921,613,808 is: 36,535,088,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837,424,910 : 16,921,613,808 = 16,921,613,808 : x
  2. Step 2: Convert to fraction form
    7,837,424,910/16,921,613,808 = 16,921,613,808/x
  3. Step 3: Cross multiply
    7,837,424,910x = 16,921,613,808 × 16,921,613,808
  4. Step 4: Simplify right side
    7,837,424,910x = 286,341,013,867,096,276,992
  5. Step 5: Solve for x
    x = 286,341,013,867,096,276,992/7,837,424,910
  6. Step 6: Final answer
    x = 36,535,088,649.05

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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.