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Finding the Third Proportional to 9,831,730.64 and 15,389,343.77

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Solution

The third proportional to 9,831,730.64 and 15,389,343.77 is: 24,088,526.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831,730.64 : 15,389,343.77 = 15,389,343.77 : x
  2. Step 2: Convert to fraction form
    9,831,730.64/15,389,343.77 = 15,389,343.77/x
  3. Step 3: Cross multiply
    9,831,730.64x = 15,389,343.77 × 15,389,343.77
  4. Step 4: Simplify right side
    9,831,730.64x = 236,831,901,777,054.91
  5. Step 5: Solve for x
    x = 236,831,901,777,054.91/9,831,730.64
  6. Step 6: Final answer
    x = 24,088,526.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.