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Finding the Third Proportional to 355,219,773,543 and 767,055,418,461

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Solution

The third proportional to 355,219,773,543 and 767,055,418,461 is: 1,656,366,167,687.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,219,773,543 : 767,055,418,461 = 767,055,418,461 : x
  2. Step 2: Convert to fraction form
    355,219,773,543/767,055,418,461 = 767,055,418,461/x
  3. Step 3: Cross multiply
    355,219,773,543x = 767,055,418,461 × 767,055,418,461
  4. Step 4: Simplify right side
    355,219,773,543x = 588,374,014,990,379,823,136,768
  5. Step 5: Solve for x
    x = 588,374,014,990,379,823,136,768/355,219,773,543
  6. Step 6: Final answer
    x = 1,656,366,167,687.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.