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Finding the Third Proportional to 450,724,824 and 987,856,560

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Solution

The third proportional to 450,724,824 and 987,856,560 is: 2,165,091,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,724,824 : 987,856,560 = 987,856,560 : x
  2. Step 2: Convert to fraction form
    450,724,824/987,856,560 = 987,856,560/x
  3. Step 3: Cross multiply
    450,724,824x = 987,856,560 × 987,856,560
  4. Step 4: Simplify right side
    450,724,824x = 975,860,583,135,033,600
  5. Step 5: Solve for x
    x = 975,860,583,135,033,600/450,724,824
  6. Step 6: Final answer
    x = 2,165,091,717.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.