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Finding the Third Proportional to 727,086,254 and 1,151,500,095

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Solution

The third proportional to 727,086,254 and 1,151,500,095 is: 1,823,652,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,086,254 : 1,151,500,095 = 1,151,500,095 : x
  2. Step 2: Convert to fraction form
    727,086,254/1,151,500,095 = 1,151,500,095/x
  3. Step 3: Cross multiply
    727,086,254x = 1,151,500,095 × 1,151,500,095
  4. Step 4: Simplify right side
    727,086,254x = 1,325,952,468,785,009,152
  5. Step 5: Solve for x
    x = 1,325,952,468,785,009,152/727,086,254
  6. Step 6: Final answer
    x = 1,823,652,230.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.