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Finding the Third Proportional to 1,403,681,518 and 3,041,427,774

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Solution

The third proportional to 1,403,681,518 and 3,041,427,774 is: 6,590,015,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,681,518 : 3,041,427,774 = 3,041,427,774 : x
  2. Step 2: Convert to fraction form
    1,403,681,518/3,041,427,774 = 3,041,427,774/x
  3. Step 3: Cross multiply
    1,403,681,518x = 3,041,427,774 × 3,041,427,774
  4. Step 4: Simplify right side
    1,403,681,518x = 9,250,282,904,458,594,304
  5. Step 5: Solve for x
    x = 9,250,282,904,458,594,304/1,403,681,518
  6. Step 6: Final answer
    x = 6,590,015,459.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.