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Finding the Third Proportional to 350,471,316 and 747,851,413.50

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Solution

The third proportional to 350,471,316 and 747,851,413.50 is: 1,595,798,888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,471,316 : 747,851,413.50 = 747,851,413.50 : x
  2. Step 2: Convert to fraction form
    350,471,316/747,851,413.50 = 747,851,413.50/x
  3. Step 3: Cross multiply
    350,471,316x = 747,851,413.50 × 747,851,413.50
  4. Step 4: Simplify right side
    350,471,316x = 559,281,736,673,947,968
  5. Step 5: Solve for x
    x = 559,281,736,673,947,968/350,471,316
  6. Step 6: Final answer
    x = 1,595,798,888.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.