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Finding the Third Proportional to 471,795,935.95 and 703,602,543.80

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Solution

The third proportional to 471,795,935.95 and 703,602,543.80 is: 1,049,302,255.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,795,935.95 : 703,602,543.80 = 703,602,543.80 : x
  2. Step 2: Convert to fraction form
    471,795,935.95/703,602,543.80 = 703,602,543.80/x
  3. Step 3: Cross multiply
    471,795,935.95x = 703,602,543.80 × 703,602,543.80
  4. Step 4: Simplify right side
    471,795,935.95x = 495,056,539,637,468,608
  5. Step 5: Solve for x
    x = 495,056,539,637,468,608/471,795,935.95
  6. Step 6: Final answer
    x = 1,049,302,255.30

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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.