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Finding the Third Proportional to 16,863,830,814 and 26,196,385,270

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Solution

The third proportional to 16,863,830,814 and 26,196,385,270 is: 40,693,636,504.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,863,830,814 : 26,196,385,270 = 26,196,385,270 : x
  2. Step 2: Convert to fraction form
    16,863,830,814/26,196,385,270 = 26,196,385,270/x
  3. Step 3: Cross multiply
    16,863,830,814x = 26,196,385,270 × 26,196,385,270
  4. Step 4: Simplify right side
    16,863,830,814x = 686,250,601,214,272,995,328
  5. Step 5: Solve for x
    x = 686,250,601,214,272,995,328/16,863,830,814
  6. Step 6: Final answer
    x = 40,693,636,504.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.