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Finding the Third Proportional to 620,841,834 and 1,351,908,466

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Solution

The third proportional to 620,841,834 and 1,351,908,466 is: 2,943,835,934.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,841,834 : 1,351,908,466 = 1,351,908,466 : x
  2. Step 2: Convert to fraction form
    620,841,834/1,351,908,466 = 1,351,908,466/x
  3. Step 3: Cross multiply
    620,841,834x = 1,351,908,466 × 1,351,908,466
  4. Step 4: Simplify right side
    620,841,834x = 1,827,656,500,442,473,216
  5. Step 5: Solve for x
    x = 1,827,656,500,442,473,216/620,841,834
  6. Step 6: Final answer
    x = 2,943,835,934.29

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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.