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Finding the Third Proportional to 30,425,972,500 and 42,042,943,446

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Solution

The third proportional to 30,425,972,500 and 42,042,943,446 is: 58,095,401,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,425,972,500 : 42,042,943,446 = 42,042,943,446 : x
  2. Step 2: Convert to fraction form
    30,425,972,500/42,042,943,446 = 42,042,943,446/x
  3. Step 3: Cross multiply
    30,425,972,500x = 42,042,943,446 × 42,042,943,446
  4. Step 4: Simplify right side
    30,425,972,500x = 1,767,609,093,603,554,230,272
  5. Step 5: Solve for x
    x = 1,767,609,093,603,554,230,272/30,425,972,500
  6. Step 6: Final answer
    x = 58,095,401,670.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.