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Finding the Third Proportional to 1,464,671,346 and 3,213,791,532

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Solution

The third proportional to 1,464,671,346 and 3,213,791,532 is: 7,051,722,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,671,346 : 3,213,791,532 = 3,213,791,532 : x
  2. Step 2: Convert to fraction form
    1,464,671,346/3,213,791,532 = 3,213,791,532/x
  3. Step 3: Cross multiply
    1,464,671,346x = 3,213,791,532 × 3,213,791,532
  4. Step 4: Simplify right side
    1,464,671,346x = 10,328,456,011,154,907,136
  5. Step 5: Solve for x
    x = 10,328,456,011,154,907,136/1,464,671,346
  6. Step 6: Final answer
    x = 7,051,722,585.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.