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Finding the Third Proportional to 642,331,669.50 and 1,022,075,959.50

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Solution

The third proportional to 642,331,669.50 and 1,022,075,959.50 is: 1,626,323,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,331,669.50 : 1,022,075,959.50 = 1,022,075,959.50 : x
  2. Step 2: Convert to fraction form
    642,331,669.50/1,022,075,959.50 = 1,022,075,959.50/x
  3. Step 3: Cross multiply
    642,331,669.50x = 1,022,075,959.50 × 1,022,075,959.50
  4. Step 4: Simplify right side
    642,331,669.50x = 1,044,639,266,987,845,632
  5. Step 5: Solve for x
    x = 1,044,639,266,987,845,632/642,331,669.50
  6. Step 6: Final answer
    x = 1,626,323,777.25

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.