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Finding the Third Proportional to 479,663,268,498 and 1,066,572,397,677

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Solution

The third proportional to 479,663,268,498 and 1,066,572,397,677 is: 2,371,615,160,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,663,268,498 : 1,066,572,397,677 = 1,066,572,397,677 : x
  2. Step 2: Convert to fraction form
    479,663,268,498/1,066,572,397,677 = 1,066,572,397,677/x
  3. Step 3: Cross multiply
    479,663,268,498x = 1,066,572,397,677 × 1,066,572,397,677
  4. Step 4: Simplify right side
    479,663,268,498x = 1,137,576,679,486,464,637,009,920
  5. Step 5: Solve for x
    x = 1,137,576,679,486,464,637,009,920/479,663,268,498
  6. Step 6: Final answer
    x = 2,371,615,160,461.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.