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Finding the Third Proportional to 447,688,984.50 and 963,402,417

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Solution

The third proportional to 447,688,984.50 and 963,402,417 is: 2,073,189,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,688,984.50 : 963,402,417 = 963,402,417 : x
  2. Step 2: Convert to fraction form
    447,688,984.50/963,402,417 = 963,402,417/x
  3. Step 3: Cross multiply
    447,688,984.50x = 963,402,417 × 963,402,417
  4. Step 4: Simplify right side
    447,688,984.50x = 928,144,217,081,441,920
  5. Step 5: Solve for x
    x = 928,144,217,081,441,920/447,688,984.50
  6. Step 6: Final answer
    x = 2,073,189,757.21

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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.