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Finding the Third Proportional to 2,444,657,310 and 5,295,442,776

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Solution

The third proportional to 2,444,657,310 and 5,295,442,776 is: 11,470,611,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444,657,310 : 5,295,442,776 = 5,295,442,776 : x
  2. Step 2: Convert to fraction form
    2,444,657,310/5,295,442,776 = 5,295,442,776/x
  3. Step 3: Cross multiply
    2,444,657,310x = 5,295,442,776 × 5,295,442,776
  4. Step 4: Simplify right side
    2,444,657,310x = 28,041,714,193,890,586,624
  5. Step 5: Solve for x
    x = 28,041,714,193,890,586,624/2,444,657,310
  6. Step 6: Final answer
    x = 11,470,611,475.56

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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.