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Finding the Third Proportional to 145,444,454 and 313,963,944

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Solution

The third proportional to 145,444,454 and 313,963,944 is: 677,738,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,444,454 : 313,963,944 = 313,963,944 : x
  2. Step 2: Convert to fraction form
    145,444,454/313,963,944 = 313,963,944/x
  3. Step 3: Cross multiply
    145,444,454x = 313,963,944 × 313,963,944
  4. Step 4: Simplify right side
    145,444,454x = 98,573,358,132,035,136
  5. Step 5: Solve for x
    x = 98,573,358,132,035,136/145,444,454
  6. Step 6: Final answer
    x = 677,738,857.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.