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Finding the Third Proportional to 736,701,051,369 and 1,603,126,031,385

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Solution

The third proportional to 736,701,051,369 and 1,603,126,031,385 is: 3,488,542,696,835.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,701,051,369 : 1,603,126,031,385 = 1,603,126,031,385 : x
  2. Step 2: Convert to fraction form
    736,701,051,369/1,603,126,031,385 = 1,603,126,031,385/x
  3. Step 3: Cross multiply
    736,701,051,369x = 1,603,126,031,385 × 1,603,126,031,385
  4. Step 4: Simplify right side
    736,701,051,369x = 2,570,013,072,504,219,863,351,296
  5. Step 5: Solve for x
    x = 2,570,013,072,504,219,863,351,296/736,701,051,369
  6. Step 6: Final answer
    x = 3,488,542,696,835.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.