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Finding the Third Proportional to 212,436,893,608 and 433,407,358,388

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Solution

The third proportional to 212,436,893,608 and 433,407,358,388 is: 884,224,651,917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,436,893,608 : 433,407,358,388 = 433,407,358,388 : x
  2. Step 2: Convert to fraction form
    212,436,893,608/433,407,358,388 = 433,407,358,388/x
  3. Step 3: Cross multiply
    212,436,893,608x = 433,407,358,388 × 433,407,358,388
  4. Step 4: Simplify right side
    212,436,893,608x = 187,841,938,304,864,266,223,616
  5. Step 5: Solve for x
    x = 187,841,938,304,864,266,223,616/212,436,893,608
  6. Step 6: Final answer
    x = 884,224,651,917.01

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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.