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Finding the Third Proportional to 1,046,097,504 and 2,200,611,888

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Solution

The third proportional to 1,046,097,504 and 2,200,611,888 is: 4,629,293,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,097,504 : 2,200,611,888 = 2,200,611,888 : x
  2. Step 2: Convert to fraction form
    1,046,097,504/2,200,611,888 = 2,200,611,888/x
  3. Step 3: Cross multiply
    1,046,097,504x = 2,200,611,888 × 2,200,611,888
  4. Step 4: Simplify right side
    1,046,097,504x = 4,842,692,681,606,924,288
  5. Step 5: Solve for x
    x = 4,842,692,681,606,924,288/1,046,097,504
  6. Step 6: Final answer
    x = 4,629,293,792.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.