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Finding the Third Proportional to 426,657,825,109.12 and 616,446,878,633.60

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Solution

The third proportional to 426,657,825,109.12 and 616,446,878,633.60 is: 890,659,286,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,657,825,109.12 : 616,446,878,633.60 = 616,446,878,633.60 : x
  2. Step 2: Convert to fraction form
    426,657,825,109.12/616,446,878,633.60 = 616,446,878,633.60/x
  3. Step 3: Cross multiply
    426,657,825,109.12x = 616,446,878,633.60 × 616,446,878,633.60
  4. Step 4: Simplify right side
    426,657,825,109.12x = 380,006,754,177,108,370,522,112
  5. Step 5: Solve for x
    x = 380,006,754,177,108,370,522,112/426,657,825,109.12
  6. Step 6: Final answer
    x = 890,659,286,701.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.