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Finding the Third Proportional to 623,409,948 and 1,355,330,856

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Solution

The third proportional to 623,409,948 and 1,355,330,856 is: 2,946,571,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,409,948 : 1,355,330,856 = 1,355,330,856 : x
  2. Step 2: Convert to fraction form
    623,409,948/1,355,330,856 = 1,355,330,856/x
  3. Step 3: Cross multiply
    623,409,948x = 1,355,330,856 × 1,355,330,856
  4. Step 4: Simplify right side
    623,409,948x = 1,836,921,729,225,692,672
  5. Step 5: Solve for x
    x = 1,836,921,729,225,692,672/623,409,948
  6. Step 6: Final answer
    x = 2,946,571,088.77

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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.