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Finding the Third Proportional to 736,701,051,373 and 1,603,126,031,393

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Solution

The third proportional to 736,701,051,373 and 1,603,126,031,393 is: 3,488,542,696,851.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,701,051,373 : 1,603,126,031,393 = 1,603,126,031,393 : x
  2. Step 2: Convert to fraction form
    736,701,051,373/1,603,126,031,393 = 1,603,126,031,393/x
  3. Step 3: Cross multiply
    736,701,051,373x = 1,603,126,031,393 × 1,603,126,031,393
  4. Step 4: Simplify right side
    736,701,051,373x = 2,570,013,072,529,869,944,913,920
  5. Step 5: Solve for x
    x = 2,570,013,072,529,869,944,913,920/736,701,051,373
  6. Step 6: Final answer
    x = 3,488,542,696,851.19

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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.