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Finding the Third Proportional to 830,830,683.94 and 1,315,599,349.78

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Solution

The third proportional to 830,830,683.94 and 1,315,599,349.78 is: 2,083,218,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,830,683.94 : 1,315,599,349.78 = 1,315,599,349.78 : x
  2. Step 2: Convert to fraction form
    830,830,683.94/1,315,599,349.78 = 1,315,599,349.78/x
  3. Step 3: Cross multiply
    830,830,683.94x = 1,315,599,349.78 × 1,315,599,349.78
  4. Step 4: Simplify right side
    830,830,683.94x = 1,730,801,649,144,716,032
  5. Step 5: Solve for x
    x = 1,730,801,649,144,716,032/830,830,683.94
  6. Step 6: Final answer
    x = 2,083,218,256.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.