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Finding the Third Proportional to 596,526,652,640 and 1,308,543,937,288

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Solution

The third proportional to 596,526,652,640 and 1,308,543,937,288 is: 2,870,428,719,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,526,652,640 : 1,308,543,937,288 = 1,308,543,937,288 : x
  2. Step 2: Convert to fraction form
    596,526,652,640/1,308,543,937,288 = 1,308,543,937,288/x
  3. Step 3: Cross multiply
    596,526,652,640x = 1,308,543,937,288 × 1,308,543,937,288
  4. Step 4: Simplify right side
    596,526,652,640x = 1,712,287,235,813,181,302,505,472
  5. Step 5: Solve for x
    x = 1,712,287,235,813,181,302,505,472/596,526,652,640
  6. Step 6: Final answer
    x = 2,870,428,719,714.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.