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Finding the Third Proportional to 402,994,390,212 and 881,904,437,640

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Solution

The third proportional to 402,994,390,212 and 881,904,437,640 is: 1,929,941,100,966.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,994,390,212 : 881,904,437,640 = 881,904,437,640 : x
  2. Step 2: Convert to fraction form
    402,994,390,212/881,904,437,640 = 881,904,437,640/x
  3. Step 3: Cross multiply
    402,994,390,212x = 881,904,437,640 × 881,904,437,640
  4. Step 4: Simplify right side
    402,994,390,212x = 777,755,437,129,124,594,843,648
  5. Step 5: Solve for x
    x = 777,755,437,129,124,594,843,648/402,994,390,212
  6. Step 6: Final answer
    x = 1,929,941,100,966.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.