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Finding the Third Proportional to 21,234,312 and 46,442,646

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Solution

The third proportional to 21,234,312 and 46,442,646 is: 101,577,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234,312 : 46,442,646 = 46,442,646 : x
  2. Step 2: Convert to fraction form
    21,234,312/46,442,646 = 46,442,646/x
  3. Step 3: Cross multiply
    21,234,312x = 46,442,646 × 46,442,646
  4. Step 4: Simplify right side
    21,234,312x = 2,156,919,367,481,316
  5. Step 5: Solve for x
    x = 2,156,919,367,481,316/21,234,312
  6. Step 6: Final answer
    x = 101,577,078.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.