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Finding the Third Proportional to 301,526,871,040 and 653,304,794,816

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Solution

The third proportional to 301,526,871,040 and 653,304,794,816 is: 1,415,486,299,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,526,871,040 : 653,304,794,816 = 653,304,794,816 : x
  2. Step 2: Convert to fraction form
    301,526,871,040/653,304,794,816 = 653,304,794,816/x
  3. Step 3: Cross multiply
    301,526,871,040x = 653,304,794,816 × 653,304,794,816
  4. Step 4: Simplify right side
    301,526,871,040x = 426,807,154,929,575,846,215,680
  5. Step 5: Solve for x
    x = 426,807,154,929,575,846,215,680/301,526,871,040
  6. Step 6: Final answer
    x = 1,415,486,299,637.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.