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Finding the Third Proportional to 470,676,948.75 and 1,026,102,242.25

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Solution

The third proportional to 470,676,948.75 and 1,026,102,242.25 is: 2,236,960,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,676,948.75 : 1,026,102,242.25 = 1,026,102,242.25 : x
  2. Step 2: Convert to fraction form
    470,676,948.75/1,026,102,242.25 = 1,026,102,242.25/x
  3. Step 3: Cross multiply
    470,676,948.75x = 1,026,102,242.25 × 1,026,102,242.25
  4. Step 4: Simplify right side
    470,676,948.75x = 1,052,885,811,550,477,696
  5. Step 5: Solve for x
    x = 1,052,885,811,550,477,696/470,676,948.75
  6. Step 6: Final answer
    x = 2,236,960,646.46

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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.