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Finding the Third Proportional to 318,186,384 and 503,045,352

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Solution

The third proportional to 318,186,384 and 503,045,352 is: 795,303,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,186,384 : 503,045,352 = 503,045,352 : x
  2. Step 2: Convert to fraction form
    318,186,384/503,045,352 = 503,045,352/x
  3. Step 3: Cross multiply
    318,186,384x = 503,045,352 × 503,045,352
  4. Step 4: Simplify right side
    318,186,384x = 253,054,626,168,803,904
  5. Step 5: Solve for x
    x = 253,054,626,168,803,904/318,186,384
  6. Step 6: Final answer
    x = 795,303,127.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.