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Finding the Third Proportional to 666,311,938,650 and 1,015,080,148,674

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Solution

The third proportional to 666,311,938,650 and 1,015,080,148,674 is: 1,546,404,391,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,311,938,650 : 1,015,080,148,674 = 1,015,080,148,674 : x
  2. Step 2: Convert to fraction form
    666,311,938,650/1,015,080,148,674 = 1,015,080,148,674/x
  3. Step 3: Cross multiply
    666,311,938,650x = 1,015,080,148,674 × 1,015,080,148,674
  4. Step 4: Simplify right side
    666,311,938,650x = 1,030,387,708,232,029,955,948,544
  5. Step 5: Solve for x
    x = 1,030,387,708,232,029,955,948,544/666,311,938,650
  6. Step 6: Final answer
    x = 1,546,404,391,792.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.