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Finding the Third Proportional to 771,055,962.75 and 1,174,662,715.50

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Solution

The third proportional to 771,055,962.75 and 1,174,662,715.50 is: 1,789,536,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,055,962.75 : 1,174,662,715.50 = 1,174,662,715.50 : x
  2. Step 2: Convert to fraction form
    771,055,962.75/1,174,662,715.50 = 1,174,662,715.50/x
  3. Step 3: Cross multiply
    771,055,962.75x = 1,174,662,715.50 × 1,174,662,715.50
  4. Step 4: Simplify right side
    771,055,962.75x = 1,379,832,495,185,833,984
  5. Step 5: Solve for x
    x = 1,379,832,495,185,833,984/771,055,962.75
  6. Step 6: Final answer
    x = 1,789,536,119.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.