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Finding the Third Proportional to 470,676,936 and 1,026,102,196

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Solution

The third proportional to 470,676,936 and 1,026,102,196 is: 2,236,960,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,676,936 : 1,026,102,196 = 1,026,102,196 : x
  2. Step 2: Convert to fraction form
    470,676,936/1,026,102,196 = 1,026,102,196/x
  3. Step 3: Cross multiply
    470,676,936x = 1,026,102,196 × 1,026,102,196
  4. Step 4: Simplify right side
    470,676,936x = 1,052,885,716,636,022,400
  5. Step 5: Solve for x
    x = 1,052,885,716,636,022,400/470,676,936
  6. Step 6: Final answer
    x = 2,236,960,505.40

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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.