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Finding the Third Proportional to 674,224,711,632 and 974,138,277,780

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Solution

The third proportional to 674,224,711,632 and 974,138,277,780 is: 1,407,461,589,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,224,711,632 : 974,138,277,780 = 974,138,277,780 : x
  2. Step 2: Convert to fraction form
    674,224,711,632/974,138,277,780 = 974,138,277,780/x
  3. Step 3: Cross multiply
    674,224,711,632x = 974,138,277,780 × 974,138,277,780
  4. Step 4: Simplify right side
    674,224,711,632x = 948,945,384,236,184,506,466,304
  5. Step 5: Solve for x
    x = 948,945,384,236,184,506,466,304/674,224,711,632
  6. Step 6: Final answer
    x = 1,407,461,589,384.95

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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.