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Finding the Third Proportional to 446,076,294 and 966,289,776

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Solution

The third proportional to 446,076,294 and 966,289,776 is: 2,093,175,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,076,294 : 966,289,776 = 966,289,776 : x
  2. Step 2: Convert to fraction form
    446,076,294/966,289,776 = 966,289,776/x
  3. Step 3: Cross multiply
    446,076,294x = 966,289,776 × 966,289,776
  4. Step 4: Simplify right side
    446,076,294x = 933,715,931,202,130,176
  5. Step 5: Solve for x
    x = 933,715,931,202,130,176/446,076,294
  6. Step 6: Final answer
    x = 2,093,175,413.63

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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.