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Finding the Third Proportional to 1,035,784,336 and 2,219,309,056

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Solution

The third proportional to 1,035,784,336 and 2,219,309,056 is: 4,755,172,012.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,784,336 : 2,219,309,056 = 2,219,309,056 : x
  2. Step 2: Convert to fraction form
    1,035,784,336/2,219,309,056 = 2,219,309,056/x
  3. Step 3: Cross multiply
    1,035,784,336x = 2,219,309,056 × 2,219,309,056
  4. Step 4: Simplify right side
    1,035,784,336x = 4,925,332,686,043,611,136
  5. Step 5: Solve for x
    x = 4,925,332,686,043,611,136/1,035,784,336
  6. Step 6: Final answer
    x = 4,755,172,012.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.