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Finding the Third Proportional to 1,403,681,520 and 3,041,427,778

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Solution

The third proportional to 1,403,681,520 and 3,041,427,778 is: 6,590,015,467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403,681,520 : 3,041,427,778 = 3,041,427,778 : x
  2. Step 2: Convert to fraction form
    1,403,681,520/3,041,427,778 = 3,041,427,778/x
  3. Step 3: Cross multiply
    1,403,681,520x = 3,041,427,778 × 3,041,427,778
  4. Step 4: Simplify right side
    1,403,681,520x = 9,250,282,928,790,018,048
  5. Step 5: Solve for x
    x = 9,250,282,928,790,018,048/1,403,681,520
  6. Step 6: Final answer
    x = 6,590,015,467.89

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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.