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Finding the Third Proportional to 757,126,210,064 and 1,176,095,773,136

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Solution

The third proportional to 757,126,210,064 and 1,176,095,773,136 is: 1,826,909,766,433.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,126,210,064 : 1,176,095,773,136 = 1,176,095,773,136 : x
  2. Step 2: Convert to fraction form
    757,126,210,064/1,176,095,773,136 = 1,176,095,773,136/x
  3. Step 3: Cross multiply
    757,126,210,064x = 1,176,095,773,136 × 1,176,095,773,136
  4. Step 4: Simplify right side
    757,126,210,064x = 1,383,201,267,588,365,507,624,960
  5. Step 5: Solve for x
    x = 1,383,201,267,588,365,507,624,960/757,126,210,064
  6. Step 6: Final answer
    x = 1,826,909,766,433.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.