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Finding the Third Proportional to 460,516,696 and 751,902,712

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Solution

The third proportional to 460,516,696 and 751,902,712 is: 1,227,659,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,516,696 : 751,902,712 = 751,902,712 : x
  2. Step 2: Convert to fraction form
    460,516,696/751,902,712 = 751,902,712/x
  3. Step 3: Cross multiply
    460,516,696x = 751,902,712 × 751,902,712
  4. Step 4: Simplify right side
    460,516,696x = 565,357,688,312,954,944
  5. Step 5: Solve for x
    x = 565,357,688,312,954,944/460,516,696
  6. Step 6: Final answer
    x = 1,227,659,481.67

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.