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Finding the Third Proportional to 797,359,543.50 and 1,148,627,530.50

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Solution

The third proportional to 797,359,543.50 and 1,148,627,530.50 is: 1,654,642,770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,359,543.50 : 1,148,627,530.50 = 1,148,627,530.50 : x
  2. Step 2: Convert to fraction form
    797,359,543.50/1,148,627,530.50 = 1,148,627,530.50/x
  3. Step 3: Cross multiply
    797,359,543.50x = 1,148,627,530.50 × 1,148,627,530.50
  4. Step 4: Simplify right side
    797,359,543.50x = 1,319,345,203,822,528,512
  5. Step 5: Solve for x
    x = 1,319,345,203,822,528,512/797,359,543.50
  6. Step 6: Final answer
    x = 1,654,642,770.10

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Why These Related Problems?

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