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Finding the Third Proportional to 470,676,938 and 1,026,102,200

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Solution

The third proportional to 470,676,938 and 1,026,102,200 is: 2,236,960,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,676,938 : 1,026,102,200 = 1,026,102,200 : x
  2. Step 2: Convert to fraction form
    470,676,938/1,026,102,200 = 1,026,102,200/x
  3. Step 3: Cross multiply
    470,676,938x = 1,026,102,200 × 1,026,102,200
  4. Step 4: Simplify right side
    470,676,938x = 1,052,885,724,844,839,936
  5. Step 5: Solve for x
    x = 1,052,885,724,844,839,936/470,676,938
  6. Step 6: Final answer
    x = 2,236,960,513.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.