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Finding the Third Proportional to 59,702,872,624 and 130,652,509,280

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Solution

The third proportional to 59,702,872,624 and 130,652,509,280 is: 285,917,200,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,702,872,624 : 130,652,509,280 = 130,652,509,280 : x
  2. Step 2: Convert to fraction form
    59,702,872,624/130,652,509,280 = 130,652,509,280/x
  3. Step 3: Cross multiply
    59,702,872,624x = 130,652,509,280 × 130,652,509,280
  4. Step 4: Simplify right side
    59,702,872,624x = 17,070,078,181,160,486,174,720
  5. Step 5: Solve for x
    x = 17,070,078,181,160,486,174,720/59,702,872,624
  6. Step 6: Final answer
    x = 285,917,200,143.21

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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.