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Finding the Third Proportional to 31,069,829,388 and 66,989,330,991

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Solution

The third proportional to 31,069,829,388 and 66,989,330,991 is: 144,434,989,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,069,829,388 : 66,989,330,991 = 66,989,330,991 : x
  2. Step 2: Convert to fraction form
    31,069,829,388/66,989,330,991 = 66,989,330,991/x
  3. Step 3: Cross multiply
    31,069,829,388x = 66,989,330,991 × 66,989,330,991
  4. Step 4: Simplify right side
    31,069,829,388x = 4,487,570,466,621,752,868,864
  5. Step 5: Solve for x
    x = 4,487,570,466,621,752,868,864/31,069,829,388
  6. Step 6: Final answer
    x = 144,434,989,023.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.