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Finding the Third Proportional to 1,095,073,271,489 and 1,609,806,287,857

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Solution

The third proportional to 1,095,073,271,489 and 1,609,806,287,857 is: 2,366,486,656,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,073,271,489 : 1,609,806,287,857 = 1,609,806,287,857 : x
  2. Step 2: Convert to fraction form
    1,095,073,271,489/1,609,806,287,857 = 1,609,806,287,857/x
  3. Step 3: Cross multiply
    1,095,073,271,489x = 1,609,806,287,857 × 1,609,806,287,857
  4. Step 4: Simplify right side
    1,095,073,271,489x = 2,591,476,284,423,934,218,076,160
  5. Step 5: Solve for x
    x = 2,591,476,284,423,934,218,076,160/1,095,073,271,489
  6. Step 6: Final answer
    x = 2,366,486,656,094.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.