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Finding the Third Proportional to 674,224,711,281 and 974,138,277,343.50

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Solution

The third proportional to 674,224,711,281 and 974,138,277,343.50 is: 1,407,461,588,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,224,711,281 : 974,138,277,343.50 = 974,138,277,343.50 : x
  2. Step 2: Convert to fraction form
    674,224,711,281/974,138,277,343.50 = 974,138,277,343.50/x
  3. Step 3: Cross multiply
    674,224,711,281x = 974,138,277,343.50 × 974,138,277,343.50
  4. Step 4: Simplify right side
    674,224,711,281x = 948,945,383,385,761,788,723,200
  5. Step 5: Solve for x
    x = 948,945,383,385,761,788,723,200/674,224,711,281
  6. Step 6: Final answer
    x = 1,407,461,588,856.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.