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Finding the Third Proportional to 1,186,155,586 and 2,470,487,222

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Solution

The third proportional to 1,186,155,586 and 2,470,487,222 is: 5,145,452,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,155,586 : 2,470,487,222 = 2,470,487,222 : x
  2. Step 2: Convert to fraction form
    1,186,155,586/2,470,487,222 = 2,470,487,222/x
  3. Step 3: Cross multiply
    1,186,155,586x = 2,470,487,222 × 2,470,487,222
  4. Step 4: Simplify right side
    1,186,155,586x = 6,103,307,114,065,276,928
  5. Step 5: Solve for x
    x = 6,103,307,114,065,276,928/1,186,155,586
  6. Step 6: Final answer
    x = 5,145,452,406.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.