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Finding the Third Proportional to 24,038,106 and 56,688,027

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Solution

The third proportional to 24,038,106 and 56,688,027 is: 133,684,925.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,038,106 : 56,688,027 = 56,688,027 : x
  2. Step 2: Convert to fraction form
    24,038,106/56,688,027 = 56,688,027/x
  3. Step 3: Cross multiply
    24,038,106x = 56,688,027 × 56,688,027
  4. Step 4: Simplify right side
    24,038,106x = 3,213,532,405,152,729
  5. Step 5: Solve for x
    x = 3,213,532,405,152,729/24,038,106
  6. Step 6: Final answer
    x = 133,684,925.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.