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Finding the Third Proportional to 698,189,973 and 1,518,961,248

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Solution

The third proportional to 698,189,973 and 1,518,961,248 is: 3,304,606,714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,189,973 : 1,518,961,248 = 1,518,961,248 : x
  2. Step 2: Convert to fraction form
    698,189,973/1,518,961,248 = 1,518,961,248/x
  3. Step 3: Cross multiply
    698,189,973x = 1,518,961,248 × 1,518,961,248
  4. Step 4: Simplify right side
    698,189,973x = 2,307,243,272,925,717,504
  5. Step 5: Solve for x
    x = 2,307,243,272,925,717,504/698,189,973
  6. Step 6: Final answer
    x = 3,304,606,714.72

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Why These Related Problems?

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