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Finding the Third Proportional to 24,532,578,596 and 53,363,518,100

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Solution

The third proportional to 24,532,578,596 and 53,363,518,100 is: 116,076,875,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532,578,596 : 53,363,518,100 = 53,363,518,100 : x
  2. Step 2: Convert to fraction form
    24,532,578,596/53,363,518,100 = 53,363,518,100/x
  3. Step 3: Cross multiply
    24,532,578,596x = 53,363,518,100 × 53,363,518,100
  4. Step 4: Simplify right side
    24,532,578,596x = 2,847,665,064,009,027,551,232
  5. Step 5: Solve for x
    x = 2,847,665,064,009,027,551,232/24,532,578,596
  6. Step 6: Final answer
    x = 116,076,875,199.47

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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.