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Finding the Third Proportional to 5,923,303,451,676 and 8,341,316,517,210

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Solution

The third proportional to 5,923,303,451,676 and 8,341,316,517,210 is: 11,746,411,746,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923,303,451,676 : 8,341,316,517,210 = 8,341,316,517,210 : x
  2. Step 2: Convert to fraction form
    5,923,303,451,676/8,341,316,517,210 = 8,341,316,517,210/x
  3. Step 3: Cross multiply
    5,923,303,451,676x = 8,341,316,517,210 × 8,341,316,517,210
  4. Step 4: Simplify right side
    5,923,303,451,676x = 69,577,561,240,280,360,569,274,368
  5. Step 5: Solve for x
    x = 69,577,561,240,280,360,569,274,368/5,923,303,451,676
  6. Step 6: Final answer
    x = 11,746,411,746,066.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.