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Finding the Third Proportional to 438,407,020 and 963,594,200

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Solution

The third proportional to 438,407,020 and 963,594,200 is: 2,117,926,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,407,020 : 963,594,200 = 963,594,200 : x
  2. Step 2: Convert to fraction form
    438,407,020/963,594,200 = 963,594,200/x
  3. Step 3: Cross multiply
    438,407,020x = 963,594,200 × 963,594,200
  4. Step 4: Simplify right side
    438,407,020x = 928,513,782,273,639,936
  5. Step 5: Solve for x
    x = 928,513,782,273,639,936/438,407,020
  6. Step 6: Final answer
    x = 2,117,926,355.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.