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Finding the Third Proportional to 24,532,578,702 and 53,363,518,308

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Solution

The third proportional to 24,532,578,702 and 53,363,518,308 is: 116,076,875,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532,578,702 : 53,363,518,308 = 53,363,518,308 : x
  2. Step 2: Convert to fraction form
    24,532,578,702/53,363,518,308 = 53,363,518,308/x
  3. Step 3: Cross multiply
    24,532,578,702x = 53,363,518,308 × 53,363,518,308
  4. Step 4: Simplify right side
    24,532,578,702x = 2,847,665,086,208,251,265,024
  5. Step 5: Solve for x
    x = 2,847,665,086,208,251,265,024/24,532,578,702
  6. Step 6: Final answer
    x = 116,076,875,602.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.