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Finding the Third Proportional to 30,381,803,442,964 and 65,174,022,080,712

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Solution

The third proportional to 30,381,803,442,964 and 65,174,022,080,712 is: 139,809,118,380,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,381,803,442,964 : 65,174,022,080,712 = 65,174,022,080,712 : x
  2. Step 2: Convert to fraction form
    30,381,803,442,964/65,174,022,080,712 = 65,174,022,080,712/x
  3. Step 3: Cross multiply
    30,381,803,442,964x = 65,174,022,080,712 × 65,174,022,080,712
  4. Step 4: Simplify right side
    30,381,803,442,964x = 4,247,653,154,177,135,147,780,931,584
  5. Step 5: Solve for x
    x = 4,247,653,154,177,135,147,780,931,584/30,381,803,442,964
  6. Step 6: Final answer
    x = 139,809,118,380,720.48

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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.