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Finding the Third Proportional to 35,983,718.44 and 77,712,275.81

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Solution

The third proportional to 35,983,718.44 and 77,712,275.81 is: 167,831,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,983,718.44 : 77,712,275.81 = 77,712,275.81 : x
  2. Step 2: Convert to fraction form
    35,983,718.44/77,712,275.81 = 77,712,275.81/x
  3. Step 3: Cross multiply
    35,983,718.44x = 77,712,275.81 × 77,712,275.81
  4. Step 4: Simplify right side
    35,983,718.44x = 6,039,197,811,958,073
  5. Step 5: Solve for x
    x = 6,039,197,811,958,073/35,983,718.44
  6. Step 6: Final answer
    x = 167,831,399.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.