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Finding the Third Proportional to 9,484,048,704,645 and 12,796,208,335,202

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Solution

The third proportional to 9,484,048,704,645 and 12,796,208,335,202 is: 17,265,089,294,374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484,048,704,645 : 12,796,208,335,202 = 12,796,208,335,202 : x
  2. Step 2: Convert to fraction form
    9,484,048,704,645/12,796,208,335,202 = 12,796,208,335,202/x
  3. Step 3: Cross multiply
    9,484,048,704,645x = 12,796,208,335,202 × 12,796,208,335,202
  4. Step 4: Simplify right side
    9,484,048,704,645x = 163,742,947,757,893,137,431,789,568
  5. Step 5: Solve for x
    x = 163,742,947,757,893,137,431,789,568/9,484,048,704,645
  6. Step 6: Final answer
    x = 17,265,089,294,374.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.