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Finding the Third Proportional to 54,140,517 and 112,742,487

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Solution

The third proportional to 54,140,517 and 112,742,487 is: 234,775,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,140,517 : 112,742,487 = 112,742,487 : x
  2. Step 2: Convert to fraction form
    54,140,517/112,742,487 = 112,742,487/x
  3. Step 3: Cross multiply
    54,140,517x = 112,742,487 × 112,742,487
  4. Step 4: Simplify right side
    54,140,517x = 12,710,868,374,945,168
  5. Step 5: Solve for x
    x = 12,710,868,374,945,168/54,140,517
  6. Step 6: Final answer
    x = 234,775,526.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.