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Finding the Third Proportional to 432,844,516 and 908,204,312

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Solution

The third proportional to 432,844,516 and 908,204,312 is: 1,905,615,161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,844,516 : 908,204,312 = 908,204,312 : x
  2. Step 2: Convert to fraction form
    432,844,516/908,204,312 = 908,204,312/x
  3. Step 3: Cross multiply
    432,844,516x = 908,204,312 × 908,204,312
  4. Step 4: Simplify right side
    432,844,516x = 824,835,072,335,393,280
  5. Step 5: Solve for x
    x = 824,835,072,335,393,280/432,844,516
  6. Step 6: Final answer
    x = 1,905,615,161.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.