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Finding the Third Proportional to 212,436,893,606 and 433,407,358,384

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Solution

The third proportional to 212,436,893,606 and 433,407,358,384 is: 884,224,651,909.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,436,893,606 : 433,407,358,384 = 433,407,358,384 : x
  2. Step 2: Convert to fraction form
    212,436,893,606/433,407,358,384 = 433,407,358,384/x
  3. Step 3: Cross multiply
    212,436,893,606x = 433,407,358,384 × 433,407,358,384
  4. Step 4: Simplify right side
    212,436,893,606x = 187,841,938,301,397,019,656,192
  5. Step 5: Solve for x
    x = 187,841,938,301,397,019,656,192/212,436,893,606
  6. Step 6: Final answer
    x = 884,224,651,909.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.