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Finding the Third Proportional to 2,136,796,355 and 4,708,317,595

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Solution

The third proportional to 2,136,796,355 and 4,708,317,595 is: 10,374,528,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136,796,355 : 4,708,317,595 = 4,708,317,595 : x
  2. Step 2: Convert to fraction form
    2,136,796,355/4,708,317,595 = 4,708,317,595/x
  3. Step 3: Cross multiply
    2,136,796,355x = 4,708,317,595 × 4,708,317,595
  4. Step 4: Simplify right side
    2,136,796,355x = 22,168,254,575,386,583,040
  5. Step 5: Solve for x
    x = 22,168,254,575,386,583,040/2,136,796,355
  6. Step 6: Final answer
    x = 10,374,528,449.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.