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Finding the Third Proportional to 470,676,914 and 1,026,102,154

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Solution

The third proportional to 470,676,914 and 1,026,102,154 is: 2,236,960,426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,676,914 : 1,026,102,154 = 1,026,102,154 : x
  2. Step 2: Convert to fraction form
    470,676,914/1,026,102,154 = 1,026,102,154/x
  3. Step 3: Cross multiply
    470,676,914x = 1,026,102,154 × 1,026,102,154
  4. Step 4: Simplify right side
    470,676,914x = 1,052,885,630,443,439,744
  5. Step 5: Solve for x
    x = 1,052,885,630,443,439,744/470,676,914
  6. Step 6: Final answer
    x = 2,236,960,426.84

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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.