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Finding the Third Proportional to 246,851,966,302 and 377,655,869,546

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Solution

The third proportional to 246,851,966,302 and 377,655,869,546 is: 577,771,195,989.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,851,966,302 : 377,655,869,546 = 377,655,869,546 : x
  2. Step 2: Convert to fraction form
    246,851,966,302/377,655,869,546 = 377,655,869,546/x
  3. Step 3: Cross multiply
    246,851,966,302x = 377,655,869,546 × 377,655,869,546
  4. Step 4: Simplify right side
    246,851,966,302x = 142,623,955,802,545,364,926,464
  5. Step 5: Solve for x
    x = 142,623,955,802,545,364,926,464/246,851,966,302
  6. Step 6: Final answer
    x = 577,771,195,989.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.