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Finding the Third Proportional to 1,095,073,270,509 and 1,609,806,286,545

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Solution

The third proportional to 1,095,073,270,509 and 1,609,806,286,545 is: 2,366,486,654,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,073,270,509 : 1,609,806,286,545 = 1,609,806,286,545 : x
  2. Step 2: Convert to fraction form
    1,095,073,270,509/1,609,806,286,545 = 1,609,806,286,545/x
  3. Step 3: Cross multiply
    1,095,073,270,509x = 1,609,806,286,545 × 1,609,806,286,545
  4. Step 4: Simplify right side
    1,095,073,270,509x = 2,591,476,280,199,802,743,947,264
  5. Step 5: Solve for x
    x = 2,591,476,280,199,802,743,947,264/1,095,073,270,509
  6. Step 6: Final answer
    x = 2,366,486,654,354.43

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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.