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Finding the Third Proportional to 25,148,258,122.50 and 51,035,484,955.50

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Solution

The third proportional to 25,148,258,122.50 and 51,035,484,955.50 is: 103,570,621,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,148,258,122.50 : 51,035,484,955.50 = 51,035,484,955.50 : x
  2. Step 2: Convert to fraction form
    25,148,258,122.50/51,035,484,955.50 = 51,035,484,955.50/x
  3. Step 3: Cross multiply
    25,148,258,122.50x = 51,035,484,955.50 × 51,035,484,955.50
  4. Step 4: Simplify right side
    25,148,258,122.50x = 2,604,620,724,643,067,068,416
  5. Step 5: Solve for x
    x = 2,604,620,724,643,067,068,416/25,148,258,122.50
  6. Step 6: Final answer
    x = 103,570,621,549.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.