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Finding the Third Proportional to 235,664,849,752 and 516,955,628,334

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Solution

The third proportional to 235,664,849,752 and 516,955,628,334 is: 1,133,996,529,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,664,849,752 : 516,955,628,334 = 516,955,628,334 : x
  2. Step 2: Convert to fraction form
    235,664,849,752/516,955,628,334 = 516,955,628,334/x
  3. Step 3: Cross multiply
    235,664,849,752x = 516,955,628,334 × 516,955,628,334
  4. Step 4: Simplify right side
    235,664,849,752x = 267,243,121,666,200,755,503,104
  5. Step 5: Solve for x
    x = 267,243,121,666,200,755,503,104/235,664,849,752
  6. Step 6: Final answer
    x = 1,133,996,529,170.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.