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Finding the Third Proportional to 212,715,798 and 462,701,346

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Solution

The third proportional to 212,715,798 and 462,701,346 is: 1,006,472,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,715,798 : 462,701,346 = 462,701,346 : x
  2. Step 2: Convert to fraction form
    212,715,798/462,701,346 = 462,701,346/x
  3. Step 3: Cross multiply
    212,715,798x = 462,701,346 × 462,701,346
  4. Step 4: Simplify right side
    212,715,798x = 214,092,535,590,211,712
  5. Step 5: Solve for x
    x = 214,092,535,590,211,712/212,715,798
  6. Step 6: Final answer
    x = 1,006,472,192.49

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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.