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Finding the Third Proportional to 531,133,482,792 and 815,885,996,328

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Solution

The third proportional to 531,133,482,792 and 815,885,996,328 is: 1,253,300,687,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,133,482,792 : 815,885,996,328 = 815,885,996,328 : x
  2. Step 2: Convert to fraction form
    531,133,482,792/815,885,996,328 = 815,885,996,328/x
  3. Step 3: Cross multiply
    531,133,482,792x = 815,885,996,328 × 815,885,996,328
  4. Step 4: Simplify right side
    531,133,482,792x = 665,669,959,004,133,208,883,200
  5. Step 5: Solve for x
    x = 665,669,959,004,133,208,883,200/531,133,482,792
  6. Step 6: Final answer
    x = 1,253,300,687,248.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.