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Finding the Third Proportional to 1,566,761,196 and 2,370,292,436

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Solution

The third proportional to 1,566,761,196 and 2,370,292,436 is: 3,585,923,781.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566,761,196 : 2,370,292,436 = 2,370,292,436 : x
  2. Step 2: Convert to fraction form
    1,566,761,196/2,370,292,436 = 2,370,292,436/x
  3. Step 3: Cross multiply
    1,566,761,196x = 2,370,292,436 × 2,370,292,436
  4. Step 4: Simplify right side
    1,566,761,196x = 5,618,286,232,158,814,208
  5. Step 5: Solve for x
    x = 5,618,286,232,158,814,208/1,566,761,196
  6. Step 6: Final answer
    x = 3,585,923,781.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.