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Finding the Third Proportional to 56,039,205 and 121,643,835

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Solution

The third proportional to 56,039,205 and 121,643,835 is: 264,051,258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,039,205 : 121,643,835 = 121,643,835 : x
  2. Step 2: Convert to fraction form
    56,039,205/121,643,835 = 121,643,835/x
  3. Step 3: Cross multiply
    56,039,205x = 121,643,835 × 121,643,835
  4. Step 4: Simplify right side
    56,039,205x = 14,797,222,593,507,224
  5. Step 5: Solve for x
    x = 14,797,222,593,507,224/56,039,205
  6. Step 6: Final answer
    x = 264,051,258.28

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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.