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Finding the Third Proportional to 1,295,250,076 and 1,989,662,548

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Solution

The third proportional to 1,295,250,076 and 1,989,662,548 is: 3,056,365,043.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,250,076 : 1,989,662,548 = 1,989,662,548 : x
  2. Step 2: Convert to fraction form
    1,295,250,076/1,989,662,548 = 1,989,662,548/x
  3. Step 3: Cross multiply
    1,295,250,076x = 1,989,662,548 × 1,989,662,548
  4. Step 4: Simplify right side
    1,295,250,076x = 3,958,757,054,913,852,416
  5. Step 5: Solve for x
    x = 3,958,757,054,913,852,416/1,295,250,076
  6. Step 6: Final answer
    x = 3,056,365,043.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.