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Finding the Third Proportional to 1,913,044,864,644 and 4,216,029,209,244

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Solution

The third proportional to 1,913,044,864,644 and 4,216,029,209,244 is: 9,291,419,465,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913,044,864,644 : 4,216,029,209,244 = 4,216,029,209,244 : x
  2. Step 2: Convert to fraction form
    1,913,044,864,644/4,216,029,209,244 = 4,216,029,209,244/x
  3. Step 3: Cross multiply
    1,913,044,864,644x = 4,216,029,209,244 × 4,216,029,209,244
  4. Step 4: Simplify right side
    1,913,044,864,644x = 17,774,902,293,198,587,840,954,368
  5. Step 5: Solve for x
    x = 17,774,902,293,198,587,840,954,368/1,913,044,864,644
  6. Step 6: Final answer
    x = 9,291,419,465,223.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.