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Finding the Third Proportional to 589,258,543.50 and 819,316,896.75

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Solution

The third proportional to 589,258,543.50 and 819,316,896.75 is: 1,139,194,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,258,543.50 : 819,316,896.75 = 819,316,896.75 : x
  2. Step 2: Convert to fraction form
    589,258,543.50/819,316,896.75 = 819,316,896.75/x
  3. Step 3: Cross multiply
    589,258,543.50x = 819,316,896.75 × 819,316,896.75
  4. Step 4: Simplify right side
    589,258,543.50x = 671,280,177,300,050,176
  5. Step 5: Solve for x
    x = 671,280,177,300,050,176/589,258,543.50
  6. Step 6: Final answer
    x = 1,139,194,645.04

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.