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Finding the Third Proportional to 212,436,893,604 and 433,407,358,380

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Solution

The third proportional to 212,436,893,604 and 433,407,358,380 is: 884,224,651,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,436,893,604 : 433,407,358,380 = 433,407,358,380 : x
  2. Step 2: Convert to fraction form
    212,436,893,604/433,407,358,380 = 433,407,358,380/x
  3. Step 3: Cross multiply
    212,436,893,604x = 433,407,358,380 × 433,407,358,380
  4. Step 4: Simplify right side
    212,436,893,604x = 187,841,938,297,929,739,534,336
  5. Step 5: Solve for x
    x = 187,841,938,297,929,739,534,336/212,436,893,604
  6. Step 6: Final answer
    x = 884,224,651,901.01

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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.