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Finding the Third Proportional to 215,227,425,352 and 462,395,293,457

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Solution

The third proportional to 215,227,425,352 and 462,395,293,457 is: 993,411,536,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,227,425,352 : 462,395,293,457 = 462,395,293,457 : x
  2. Step 2: Convert to fraction form
    215,227,425,352/462,395,293,457 = 462,395,293,457/x
  3. Step 3: Cross multiply
    215,227,425,352x = 462,395,293,457 × 462,395,293,457
  4. Step 4: Simplify right side
    215,227,425,352x = 213,809,407,411,185,141,153,792
  5. Step 5: Solve for x
    x = 213,809,407,411,185,141,153,792/215,227,425,352
  6. Step 6: Final answer
    x = 993,411,536,942.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.