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Finding the Third Proportional to 447,688,912 and 963,402,276

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Solution

The third proportional to 447,688,912 and 963,402,276 is: 2,073,189,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,688,912 : 963,402,276 = 963,402,276 : x
  2. Step 2: Convert to fraction form
    447,688,912/963,402,276 = 963,402,276/x
  3. Step 3: Cross multiply
    447,688,912x = 963,402,276 × 963,402,276
  4. Step 4: Simplify right side
    447,688,912x = 928,143,945,401,980,160
  5. Step 5: Solve for x
    x = 928,143,945,401,980,160/447,688,912
  6. Step 6: Final answer
    x = 2,073,189,486.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.