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Finding the Third Proportional to 7,232,176.13 and 9,822,075.19

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Solution

The third proportional to 7,232,176.13 and 9,822,075.19 is: 13,339,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232,176.13 : 9,822,075.19 = 9,822,075.19 : x
  2. Step 2: Convert to fraction form
    7,232,176.13/9,822,075.19 = 9,822,075.19/x
  3. Step 3: Cross multiply
    7,232,176.13x = 9,822,075.19 × 9,822,075.19
  4. Step 4: Simplify right side
    7,232,176.13x = 96,473,160,988,903.16
  5. Step 5: Solve for x
    x = 96,473,160,988,903.16/7,232,176.13
  6. Step 6: Final answer
    x = 13,339,437.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.