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Finding the Third Proportional to 552,925,075.50 and 1,187,905,824

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Solution

The third proportional to 552,925,075.50 and 1,187,905,824 is: 2,552,100,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,925,075.50 : 1,187,905,824 = 1,187,905,824 : x
  2. Step 2: Convert to fraction form
    552,925,075.50/1,187,905,824 = 1,187,905,824/x
  3. Step 3: Cross multiply
    552,925,075.50x = 1,187,905,824 × 1,187,905,824
  4. Step 4: Simplify right side
    552,925,075.50x = 1,411,120,246,693,118,976
  5. Step 5: Solve for x
    x = 1,411,120,246,693,118,976/552,925,075.50
  6. Step 6: Final answer
    x = 2,552,100,292.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.