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Finding the Third Proportional to 413,894,550 and 901,272,300

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Solution

The third proportional to 413,894,550 and 901,272,300 is: 1,962,557,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,894,550 : 901,272,300 = 901,272,300 : x
  2. Step 2: Convert to fraction form
    413,894,550/901,272,300 = 901,272,300/x
  3. Step 3: Cross multiply
    413,894,550x = 901,272,300 × 901,272,300
  4. Step 4: Simplify right side
    413,894,550x = 812,291,758,747,289,984
  5. Step 5: Solve for x
    x = 812,291,758,747,289,984/413,894,550
  6. Step 6: Final answer
    x = 1,962,557,271.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.