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Finding the Third Proportional to 322,841,137,810.12 and 693,592,939,714.90

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Solution

The third proportional to 322,841,137,810.12 and 693,592,939,714.90 is: 1,490,117,304,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,841,137,810.12 : 693,592,939,714.90 = 693,592,939,714.90 : x
  2. Step 2: Convert to fraction form
    322,841,137,810.12/693,592,939,714.90 = 693,592,939,714.90/x
  3. Step 3: Cross multiply
    322,841,137,810.12x = 693,592,939,714.90 × 693,592,939,714.90
  4. Step 4: Simplify right side
    322,841,137,810.12x = 481,071,166,022,356,914,143,232
  5. Step 5: Solve for x
    x = 481,071,166,022,356,914,143,232/322,841,137,810.12
  6. Step 6: Final answer
    x = 1,490,117,304,397.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.