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Finding the Third Proportional to 19,622,506,100 and 29,426,552,214

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Solution

The third proportional to 19,622,506,100 and 29,426,552,214 is: 44,129,020,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,622,506,100 : 29,426,552,214 = 29,426,552,214 : x
  2. Step 2: Convert to fraction form
    19,622,506,100/29,426,552,214 = 29,426,552,214/x
  3. Step 3: Cross multiply
    19,622,506,100x = 29,426,552,214 × 29,426,552,214
  4. Step 4: Simplify right side
    19,622,506,100x = 865,921,975,203,268,263,936
  5. Step 5: Solve for x
    x = 865,921,975,203,268,263,936/19,622,506,100
  6. Step 6: Final answer
    x = 44,129,020,563.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.