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Finding the Third Proportional to 34,264,075.50 and 74,806,963.50

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Solution

The third proportional to 34,264,075.50 and 74,806,963.50 is: 163,322,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,264,075.50 : 74,806,963.50 = 74,806,963.50 : x
  2. Step 2: Convert to fraction form
    34,264,075.50/74,806,963.50 = 74,806,963.50/x
  3. Step 3: Cross multiply
    34,264,075.50x = 74,806,963.50 × 74,806,963.50
  4. Step 4: Simplify right side
    34,264,075.50x = 5,596,081,788,090,332
  5. Step 5: Solve for x
    x = 5,596,081,788,090,332/34,264,075.50
  6. Step 6: Final answer
    x = 163,322,129.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.