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Finding the Third Proportional to 620,841,840 and 1,351,908,478

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Solution

The third proportional to 620,841,840 and 1,351,908,478 is: 2,943,835,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,841,840 : 1,351,908,478 = 1,351,908,478 : x
  2. Step 2: Convert to fraction form
    620,841,840/1,351,908,478 = 1,351,908,478/x
  3. Step 3: Cross multiply
    620,841,840x = 1,351,908,478 × 1,351,908,478
  4. Step 4: Simplify right side
    620,841,840x = 1,827,656,532,888,276,480
  5. Step 5: Solve for x
    x = 1,827,656,532,888,276,480/620,841,840
  6. Step 6: Final answer
    x = 2,943,835,958.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.