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Finding the Third Proportional to 81,640,388,594 and 127,789,506,020

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Solution

The third proportional to 81,640,388,594 and 127,789,506,020 is: 200,025,479,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,640,388,594 : 127,789,506,020 = 127,789,506,020 : x
  2. Step 2: Convert to fraction form
    81,640,388,594/127,789,506,020 = 127,789,506,020/x
  3. Step 3: Cross multiply
    81,640,388,594x = 127,789,506,020 × 127,789,506,020
  4. Step 4: Simplify right side
    81,640,388,594x = 16,330,157,848,835,615,883,264
  5. Step 5: Solve for x
    x = 16,330,157,848,835,615,883,264/81,640,388,594
  6. Step 6: Final answer
    x = 200,025,479,178.52

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.