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Finding the Third Proportional to 2,064,696,114 and 3,156,292,944

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Solution

The third proportional to 2,064,696,114 and 3,156,292,944 is: 4,825,012,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064,696,114 : 3,156,292,944 = 3,156,292,944 : x
  2. Step 2: Convert to fraction form
    2,064,696,114/3,156,292,944 = 3,156,292,944/x
  3. Step 3: Cross multiply
    2,064,696,114x = 3,156,292,944 × 3,156,292,944
  4. Step 4: Simplify right side
    2,064,696,114x = 9,962,185,148,344,186,880
  5. Step 5: Solve for x
    x = 9,962,185,148,344,186,880/2,064,696,114
  6. Step 6: Final answer
    x = 4,825,012,785.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.