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Finding the Third Proportional to 1,413,881,871.75 and 3,000,109,594.50

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Solution

The third proportional to 1,413,881,871.75 and 3,000,109,594.50 is: 6,365,919,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413,881,871.75 : 3,000,109,594.50 = 3,000,109,594.50 : x
  2. Step 2: Convert to fraction form
    1,413,881,871.75/3,000,109,594.50 = 3,000,109,594.50/x
  3. Step 3: Cross multiply
    1,413,881,871.75x = 3,000,109,594.50 × 3,000,109,594.50
  4. Step 4: Simplify right side
    1,413,881,871.75x = 9,000,657,579,010,954,240
  5. Step 5: Solve for x
    x = 9,000,657,579,010,954,240/1,413,881,871.75
  6. Step 6: Final answer
    x = 6,365,919,076.30

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.