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Finding the Third Proportional to 117,996,542,826 and 259,528,880,352

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Solution

The third proportional to 117,996,542,826 and 259,528,880,352 is: 570,823,840,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,996,542,826 : 259,528,880,352 = 259,528,880,352 : x
  2. Step 2: Convert to fraction form
    117,996,542,826/259,528,880,352 = 259,528,880,352/x
  3. Step 3: Cross multiply
    117,996,542,826x = 259,528,880,352 × 259,528,880,352
  4. Step 4: Simplify right side
    117,996,542,826x = 67,355,239,736,762,735,525,888
  5. Step 5: Solve for x
    x = 67,355,239,736,762,735,525,888/117,996,542,826
  6. Step 6: Final answer
    x = 570,823,840,458.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.