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Finding the Third Proportional to 544,658,831,367.09 and 1,191,919,447,503.70

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Solution

The third proportional to 544,658,831,367.09 and 1,191,919,447,503.70 is: 2,608,370,391,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,658,831,367.09 : 1,191,919,447,503.70 = 1,191,919,447,503.70 : x
  2. Step 2: Convert to fraction form
    544,658,831,367.09/1,191,919,447,503.70 = 1,191,919,447,503.70/x
  3. Step 3: Cross multiply
    544,658,831,367.09x = 1,191,919,447,503.70 × 1,191,919,447,503.70
  4. Step 4: Simplify right side
    544,658,831,367.09x = 1,420,671,969,337,525,340,733,440
  5. Step 5: Solve for x
    x = 1,420,671,969,337,525,340,733,440/544,658,831,367.09
  6. Step 6: Final answer
    x = 2,608,370,391,739.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.