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Finding the Third Proportional to 580,628,235,759 and 910,834,371,666

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Solution

The third proportional to 580,628,235,759 and 910,834,371,666 is: 1,428,830,362,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,628,235,759 : 910,834,371,666 = 910,834,371,666 : x
  2. Step 2: Convert to fraction form
    580,628,235,759/910,834,371,666 = 910,834,371,666/x
  3. Step 3: Cross multiply
    580,628,235,759x = 910,834,371,666 × 910,834,371,666
  4. Step 4: Simplify right side
    580,628,235,759x = 829,619,252,608,197,059,411,968
  5. Step 5: Solve for x
    x = 829,619,252,608,197,059,411,968/580,628,235,759
  6. Step 6: Final answer
    x = 1,428,830,362,553.27

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Why These Related Problems?

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