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Finding the Third Proportional to 16,863,830,810 and 26,196,385,263

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Solution

The third proportional to 16,863,830,810 and 26,196,385,263 is: 40,693,636,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,863,830,810 : 26,196,385,263 = 26,196,385,263 : x
  2. Step 2: Convert to fraction form
    16,863,830,810/26,196,385,263 = 26,196,385,263/x
  3. Step 3: Cross multiply
    16,863,830,810x = 26,196,385,263 × 26,196,385,263
  4. Step 4: Simplify right side
    16,863,830,810x = 686,250,600,847,523,577,856
  5. Step 5: Solve for x
    x = 686,250,600,847,523,577,856/16,863,830,810
  6. Step 6: Final answer
    x = 40,693,636,492.17

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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.