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Finding the Third Proportional to 344,915,045,478 and 754,851,631,950

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Solution

The third proportional to 344,915,045,478 and 754,851,631,950 is: 1,652,003,859,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,915,045,478 : 754,851,631,950 = 754,851,631,950 : x
  2. Step 2: Convert to fraction form
    344,915,045,478/754,851,631,950 = 754,851,631,950/x
  3. Step 3: Cross multiply
    344,915,045,478x = 754,851,631,950 × 754,851,631,950
  4. Step 4: Simplify right side
    344,915,045,478x = 569,800,986,257,578,270,916,608
  5. Step 5: Solve for x
    x = 569,800,986,257,578,270,916,608/344,915,045,478
  6. Step 6: Final answer
    x = 1,652,003,859,292.14

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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.