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Finding the Third Proportional to 1,854,838,237.50 and 4,000,233,631.50

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Solution

The third proportional to 1,854,838,237.50 and 4,000,233,631.50 is: 8,627,096,844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854,838,237.50 : 4,000,233,631.50 = 4,000,233,631.50 : x
  2. Step 2: Convert to fraction form
    1,854,838,237.50/4,000,233,631.50 = 4,000,233,631.50/x
  3. Step 3: Cross multiply
    1,854,838,237.50x = 4,000,233,631.50 × 4,000,233,631.50
  4. Step 4: Simplify right side
    1,854,838,237.50x = 16,001,869,106,583,676,928
  5. Step 5: Solve for x
    x = 16,001,869,106,583,676,928/1,854,838,237.50
  6. Step 6: Final answer
    x = 8,627,096,844.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.