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Finding the Third Proportional to 736,701,051,371 and 1,603,126,031,389

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Solution

The third proportional to 736,701,051,371 and 1,603,126,031,389 is: 3,488,542,696,843.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,701,051,371 : 1,603,126,031,389 = 1,603,126,031,389 : x
  2. Step 2: Convert to fraction form
    736,701,051,371/1,603,126,031,389 = 1,603,126,031,389/x
  3. Step 3: Cross multiply
    736,701,051,371x = 1,603,126,031,389 × 1,603,126,031,389
  4. Step 4: Simplify right side
    736,701,051,371x = 2,570,013,072,517,045,172,568,064
  5. Step 5: Solve for x
    x = 2,570,013,072,517,045,172,568,064/736,701,051,371
  6. Step 6: Final answer
    x = 3,488,542,696,843.25

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