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Finding the Third Proportional to 23,709,393,875 and 51,551,115,506

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Solution

The third proportional to 23,709,393,875 and 51,551,115,506 is: 112,087,112,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709,393,875 : 51,551,115,506 = 51,551,115,506 : x
  2. Step 2: Convert to fraction form
    23,709,393,875/51,551,115,506 = 51,551,115,506/x
  3. Step 3: Cross multiply
    23,709,393,875x = 51,551,115,506 × 51,551,115,506
  4. Step 4: Simplify right side
    23,709,393,875x = 2,657,517,509,912,953,880,576
  5. Step 5: Solve for x
    x = 2,657,517,509,912,953,880,576/23,709,393,875
  6. Step 6: Final answer
    x = 112,087,112,978.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.