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Finding the Third Proportional to 3,588,681,060,565 and 7,721,651,871,138

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Solution

The third proportional to 3,588,681,060,565 and 7,721,651,871,138 is: 16,614,434,833,521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588,681,060,565 : 7,721,651,871,138 = 7,721,651,871,138 : x
  2. Step 2: Convert to fraction form
    3,588,681,060,565/7,721,651,871,138 = 7,721,651,871,138/x
  3. Step 3: Cross multiply
    3,588,681,060,565x = 7,721,651,871,138 × 7,721,651,871,138
  4. Step 4: Simplify right side
    3,588,681,060,565x = 59,623,907,619,048,973,941,080,064
  5. Step 5: Solve for x
    x = 59,623,907,619,048,973,941,080,064/3,588,681,060,565
  6. Step 6: Final answer
    x = 16,614,434,833,521.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.