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Finding the Third Proportional to 1,023,611,982 and 2,210,332,068

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Solution

The third proportional to 1,023,611,982 and 2,210,332,068 is: 4,772,870,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,611,982 : 2,210,332,068 = 2,210,332,068 : x
  2. Step 2: Convert to fraction form
    1,023,611,982/2,210,332,068 = 2,210,332,068/x
  3. Step 3: Cross multiply
    1,023,611,982x = 2,210,332,068 × 2,210,332,068
  4. Step 4: Simplify right side
    1,023,611,982x = 4,885,567,850,829,156,352
  5. Step 5: Solve for x
    x = 4,885,567,850,829,156,352/1,023,611,982
  6. Step 6: Final answer
    x = 4,772,870,908.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.