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Finding the Third Proportional to 1,342,356,462 and 3,164,307,444

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Solution

The third proportional to 1,342,356,462 and 3,164,307,444 is: 7,459,152,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342,356,462 : 3,164,307,444 = 3,164,307,444 : x
  2. Step 2: Convert to fraction form
    1,342,356,462/3,164,307,444 = 3,164,307,444/x
  3. Step 3: Cross multiply
    1,342,356,462x = 3,164,307,444 × 3,164,307,444
  4. Step 4: Simplify right side
    1,342,356,462x = 10,012,841,600,153,812,992
  5. Step 5: Solve for x
    x = 10,012,841,600,153,812,992/1,342,356,462
  6. Step 6: Final answer
    x = 7,459,152,530.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.