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Finding the Third Proportional to 7,837,424,904 and 16,921,613,796

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Solution

The third proportional to 7,837,424,904 and 16,921,613,796 is: 36,535,088,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837,424,904 : 16,921,613,796 = 16,921,613,796 : x
  2. Step 2: Convert to fraction form
    7,837,424,904/16,921,613,796 = 16,921,613,796/x
  3. Step 3: Cross multiply
    7,837,424,904x = 16,921,613,796 × 16,921,613,796
  4. Step 4: Simplify right side
    7,837,424,904x = 286,341,013,460,977,516,544
  5. Step 5: Solve for x
    x = 286,341,013,460,977,516,544/7,837,424,904
  6. Step 6: Final answer
    x = 36,535,088,625.20

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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.