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Finding the Third Proportional to 27,602,529,564 and 39,471,921,018

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Solution

The third proportional to 27,602,529,564 and 39,471,921,018 is: 56,445,281,409.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602,529,564 : 39,471,921,018 = 39,471,921,018 : x
  2. Step 2: Convert to fraction form
    27,602,529,564/39,471,921,018 = 39,471,921,018/x
  3. Step 3: Cross multiply
    27,602,529,564x = 39,471,921,018 × 39,471,921,018
  4. Step 4: Simplify right side
    27,602,529,564x = 1,558,032,548,851,230,179,328
  5. Step 5: Solve for x
    x = 1,558,032,548,851,230,179,328/27,602,529,564
  6. Step 6: Final answer
    x = 56,445,281,409.40

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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.