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Finding the Third Proportional to 608,297,994 and 1,248,843,712

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Solution

The third proportional to 608,297,994 and 1,248,843,712 is: 2,563,892,421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,297,994 : 1,248,843,712 = 1,248,843,712 : x
  2. Step 2: Convert to fraction form
    608,297,994/1,248,843,712 = 1,248,843,712/x
  3. Step 3: Cross multiply
    608,297,994x = 1,248,843,712 × 1,248,843,712
  4. Step 4: Simplify right side
    608,297,994x = 1,559,610,617,001,938,944
  5. Step 5: Solve for x
    x = 1,559,610,617,001,938,944/608,297,994
  6. Step 6: Final answer
    x = 2,563,892,421.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.