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Finding the Third Proportional to 948,895,819,605 and 1,445,544,739,153.50

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Solution

The third proportional to 948,895,819,605 and 1,445,544,739,153.50 is: 2,202,138,053,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,895,819,605 : 1,445,544,739,153.50 = 1,445,544,739,153.50 : x
  2. Step 2: Convert to fraction form
    948,895,819,605/1,445,544,739,153.50 = 1,445,544,739,153.50/x
  3. Step 3: Cross multiply
    948,895,819,605x = 1,445,544,739,153.50 × 1,445,544,739,153.50
  4. Step 4: Simplify right side
    948,895,819,605x = 2,089,599,592,894,360,406,982,656
  5. Step 5: Solve for x
    x = 2,089,599,592,894,360,406,982,656/948,895,819,605
  6. Step 6: Final answer
    x = 2,202,138,053,220.85

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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.