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Finding the Third Proportional to 1,704,573,304,346 and 3,709,220,252,094

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Solution

The third proportional to 1,704,573,304,346 and 3,709,220,252,094 is: 8,071,412,853,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704,573,304,346 : 3,709,220,252,094 = 3,709,220,252,094 : x
  2. Step 2: Convert to fraction form
    1,704,573,304,346/3,709,220,252,094 = 3,709,220,252,094/x
  3. Step 3: Cross multiply
    1,704,573,304,346x = 3,709,220,252,094 × 3,709,220,252,094
  4. Step 4: Simplify right side
    1,704,573,304,346x = 13,758,314,878,544,276,304,691,200
  5. Step 5: Solve for x
    x = 13,758,314,878,544,276,304,691,200/1,704,573,304,346
  6. Step 6: Final answer
    x = 8,071,412,853,566.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.