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Finding the Third Proportional to 27,602,529,567 and 39,471,921,022.50

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Solution

The third proportional to 27,602,529,567 and 39,471,921,022.50 is: 56,445,281,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602,529,567 : 39,471,921,022.50 = 39,471,921,022.50 : x
  2. Step 2: Convert to fraction form
    27,602,529,567/39,471,921,022.50 = 39,471,921,022.50/x
  3. Step 3: Cross multiply
    27,602,529,567x = 39,471,921,022.50 × 39,471,921,022.50
  4. Step 4: Simplify right side
    27,602,529,567x = 1,558,032,549,206,477,504,512
  5. Step 5: Solve for x
    x = 1,558,032,549,206,477,504,512/27,602,529,567
  6. Step 6: Final answer
    x = 56,445,281,416.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.