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Finding the Third Proportional to 470,676,908 and 1,026,102,142

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Solution

The third proportional to 470,676,908 and 1,026,102,142 is: 2,236,960,403.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,676,908 : 1,026,102,142 = 1,026,102,142 : x
  2. Step 2: Convert to fraction form
    470,676,908/1,026,102,142 = 1,026,102,142/x
  3. Step 3: Cross multiply
    470,676,908x = 1,026,102,142 × 1,026,102,142
  4. Step 4: Simplify right side
    470,676,908x = 1,052,885,605,816,988,160
  5. Step 5: Solve for x
    x = 1,052,885,605,816,988,160/470,676,908
  6. Step 6: Final answer
    x = 2,236,960,403.03

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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.