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Finding the Third Proportional to 736,701,051,370.50 and 1,603,126,031,388

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Solution

The third proportional to 736,701,051,370.50 and 1,603,126,031,388 is: 3,488,542,696,841.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,701,051,370.50 : 1,603,126,031,388 = 1,603,126,031,388 : x
  2. Step 2: Convert to fraction form
    736,701,051,370.50/1,603,126,031,388 = 1,603,126,031,388/x
  3. Step 3: Cross multiply
    736,701,051,370.50x = 1,603,126,031,388 × 1,603,126,031,388
  4. Step 4: Simplify right side
    736,701,051,370.50x = 2,570,013,072,513,838,979,481,600
  5. Step 5: Solve for x
    x = 2,570,013,072,513,838,979,481,600/736,701,051,370.50
  6. Step 6: Final answer
    x = 3,488,542,696,841.26

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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.