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Finding the Third Proportional to 2,920,195,390,453.80 and 4,292,816,767,328.20

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Solution

The third proportional to 2,920,195,390,453.80 and 4,292,816,767,328.20 is: 6,310,631,082,459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920,195,390,453.80 : 4,292,816,767,328.20 = 4,292,816,767,328.20 : x
  2. Step 2: Convert to fraction form
    2,920,195,390,453.80/4,292,816,767,328.20 = 4,292,816,767,328.20/x
  3. Step 3: Cross multiply
    2,920,195,390,453.80x = 4,292,816,767,328.20 × 4,292,816,767,328.20
  4. Step 4: Simplify right side
    2,920,195,390,453.80x = 18,428,275,797,854,138,738,409,472
  5. Step 5: Solve for x
    x = 18,428,275,797,854,138,738,409,472/2,920,195,390,453.80
  6. Step 6: Final answer
    x = 6,310,631,082,459.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.