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Finding the Third Proportional to 59,702,872,626 and 130,652,509,284

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Solution

The third proportional to 59,702,872,626 and 130,652,509,284 is: 285,917,200,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,702,872,626 : 130,652,509,284 = 130,652,509,284 : x
  2. Step 2: Convert to fraction form
    59,702,872,626/130,652,509,284 = 130,652,509,284/x
  3. Step 3: Cross multiply
    59,702,872,626x = 130,652,509,284 × 130,652,509,284
  4. Step 4: Simplify right side
    59,702,872,626x = 17,070,078,182,205,706,731,520
  5. Step 5: Solve for x
    x = 17,070,078,182,205,706,731,520/59,702,872,626
  6. Step 6: Final answer
    x = 285,917,200,151.13

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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.