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Finding the Third Proportional to 1,261,200,024 and 2,946,732,345

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Solution

The third proportional to 1,261,200,024 and 2,946,732,345 is: 6,884,896,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,200,024 : 2,946,732,345 = 2,946,732,345 : x
  2. Step 2: Convert to fraction form
    1,261,200,024/2,946,732,345 = 2,946,732,345/x
  3. Step 3: Cross multiply
    1,261,200,024x = 2,946,732,345 × 2,946,732,345
  4. Step 4: Simplify right side
    1,261,200,024x = 8,683,231,513,069,199,360
  5. Step 5: Solve for x
    x = 8,683,231,513,069,199,360/1,261,200,024
  6. Step 6: Final answer
    x = 6,884,896,406.46

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.