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Finding the Third Proportional to 646,938,936 and 925,130,214

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Solution

The third proportional to 646,938,936 and 925,130,214 is: 1,322,946,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,938,936 : 925,130,214 = 925,130,214 : x
  2. Step 2: Convert to fraction form
    646,938,936/925,130,214 = 925,130,214/x
  3. Step 3: Cross multiply
    646,938,936x = 925,130,214 × 925,130,214
  4. Step 4: Simplify right side
    646,938,936x = 855,865,912,855,685,760
  5. Step 5: Solve for x
    x = 855,865,912,855,685,760/646,938,936
  6. Step 6: Final answer
    x = 1,322,946,981.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.