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Finding the Third Proportional to 1,852,977,069 and 2,822,882,476.50

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Solution

The third proportional to 1,852,977,069 and 2,822,882,476.50 is: 4,300,466,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852,977,069 : 2,822,882,476.50 = 2,822,882,476.50 : x
  2. Step 2: Convert to fraction form
    1,852,977,069/2,822,882,476.50 = 2,822,882,476.50/x
  3. Step 3: Cross multiply
    1,852,977,069x = 2,822,882,476.50 × 2,822,882,476.50
  4. Step 4: Simplify right side
    1,852,977,069x = 7,968,665,476,130,772,992
  5. Step 5: Solve for x
    x = 7,968,665,476,130,772,992/1,852,977,069
  6. Step 6: Final answer
    x = 4,300,466,319.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.