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Finding the Third Proportional to 218,178,711 and 470,967,516

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Solution

The third proportional to 218,178,711 and 470,967,516 is: 1,016,645,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,178,711 : 470,967,516 = 470,967,516 : x
  2. Step 2: Convert to fraction form
    218,178,711/470,967,516 = 470,967,516/x
  3. Step 3: Cross multiply
    218,178,711x = 470,967,516 × 470,967,516
  4. Step 4: Simplify right side
    218,178,711x = 221,810,401,127,210,240
  5. Step 5: Solve for x
    x = 221,810,401,127,210,240/218,178,711
  6. Step 6: Final answer
    x = 1,016,645,483.47

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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.