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Finding the Third Proportional to 283,297,701 and 612,668,840

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Solution

The third proportional to 283,297,701 and 612,668,840 is: 1,324,977,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,297,701 : 612,668,840 = 612,668,840 : x
  2. Step 2: Convert to fraction form
    283,297,701/612,668,840 = 612,668,840/x
  3. Step 3: Cross multiply
    283,297,701x = 612,668,840 × 612,668,840
  4. Step 4: Simplify right side
    283,297,701x = 375,363,107,506,945,600
  5. Step 5: Solve for x
    x = 375,363,107,506,945,600/283,297,701
  6. Step 6: Final answer
    x = 1,324,977,598.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.