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Finding the Third Proportional to 462,307,040 and 633,935,280

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Solution

The third proportional to 462,307,040 and 633,935,280 is: 869,279,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,307,040 : 633,935,280 = 633,935,280 : x
  2. Step 2: Convert to fraction form
    462,307,040/633,935,280 = 633,935,280/x
  3. Step 3: Cross multiply
    462,307,040x = 633,935,280 × 633,935,280
  4. Step 4: Simplify right side
    462,307,040x = 401,873,939,228,678,400
  5. Step 5: Solve for x
    x = 401,873,939,228,678,400/462,307,040
  6. Step 6: Final answer
    x = 869,279,298.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.