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Finding the Third Proportional to 218,166,954 and 470,946,465

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Solution

The third proportional to 218,166,954 and 470,946,465 is: 1,016,609,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,166,954 : 470,946,465 = 470,946,465 : x
  2. Step 2: Convert to fraction form
    218,166,954/470,946,465 = 470,946,465/x
  3. Step 3: Cross multiply
    218,166,954x = 470,946,465 × 470,946,465
  4. Step 4: Simplify right side
    218,166,954x = 221,790,572,895,996,224
  5. Step 5: Solve for x
    x = 221,790,572,895,996,224/218,166,954
  6. Step 6: Final answer
    x = 1,016,609,384.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.