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Finding the Third Proportional to 273,235,152 and 590,096,640

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Solution

The third proportional to 273,235,152 and 590,096,640 is: 1,274,411,590.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,235,152 : 590,096,640 = 590,096,640 : x
  2. Step 2: Convert to fraction form
    273,235,152/590,096,640 = 590,096,640/x
  3. Step 3: Cross multiply
    273,235,152x = 590,096,640 × 590,096,640
  4. Step 4: Simplify right side
    273,235,152x = 348,214,044,539,289,600
  5. Step 5: Solve for x
    x = 348,214,044,539,289,600/273,235,152
  6. Step 6: Final answer
    x = 1,274,411,590.13

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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.