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Finding the Third Proportional to 6,297,575,459,985 and 9,405,095,731,804.80

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Solution

The third proportional to 6,297,575,459,985 and 9,405,095,731,804.80 is: 14,046,012,832,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297,575,459,985 : 9,405,095,731,804.80 = 9,405,095,731,804.80 : x
  2. Step 2: Convert to fraction form
    6,297,575,459,985/9,405,095,731,804.80 = 9,405,095,731,804.80/x
  3. Step 3: Cross multiply
    6,297,575,459,985x = 9,405,095,731,804.80 × 9,405,095,731,804.80
  4. Step 4: Simplify right side
    6,297,575,459,985x = 88,455,825,724,412,873,175,728,128
  5. Step 5: Solve for x
    x = 88,455,825,724,412,873,175,728,128/6,297,575,459,985
  6. Step 6: Final answer
    x = 14,046,012,832,472.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.