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Finding the Third Proportional to 3,427,571,460 and 4,736,125,105

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Solution

The third proportional to 3,427,571,460 and 4,736,125,105 is: 6,544,248,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427,571,460 : 4,736,125,105 = 4,736,125,105 : x
  2. Step 2: Convert to fraction form
    3,427,571,460/4,736,125,105 = 4,736,125,105/x
  3. Step 3: Cross multiply
    3,427,571,460x = 4,736,125,105 × 4,736,125,105
  4. Step 4: Simplify right side
    3,427,571,460x = 22,430,881,010,211,262,464
  5. Step 5: Solve for x
    x = 22,430,881,010,211,262,464/3,427,571,460
  6. Step 6: Final answer
    x = 6,544,248,973.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.