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Finding the Third Proportional to 1,035,784,312 and 2,219,309,008

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Solution

The third proportional to 1,035,784,312 and 2,219,309,008 is: 4,755,171,917.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,784,312 : 2,219,309,008 = 2,219,309,008 : x
  2. Step 2: Convert to fraction form
    1,035,784,312/2,219,309,008 = 2,219,309,008/x
  3. Step 3: Cross multiply
    1,035,784,312x = 2,219,309,008 × 2,219,309,008
  4. Step 4: Simplify right side
    1,035,784,312x = 4,925,332,472,989,943,808
  5. Step 5: Solve for x
    x = 4,925,332,472,989,943,808/1,035,784,312
  6. Step 6: Final answer
    x = 4,755,171,917.48

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Why These Related Problems?

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