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Finding the Third Proportional to 2,444,657,306 and 5,295,442,768

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Solution

The third proportional to 2,444,657,306 and 5,295,442,768 is: 11,470,611,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444,657,306 : 5,295,442,768 = 5,295,442,768 : x
  2. Step 2: Convert to fraction form
    2,444,657,306/5,295,442,768 = 5,295,442,768/x
  3. Step 3: Cross multiply
    2,444,657,306x = 5,295,442,768 × 5,295,442,768
  4. Step 4: Simplify right side
    2,444,657,306x = 28,041,714,109,163,503,616
  5. Step 5: Solve for x
    x = 28,041,714,109,163,503,616/2,444,657,306
  6. Step 6: Final answer
    x = 11,470,611,459.67

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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.