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Finding the Third Proportional to 215,227,425,300 and 462,395,293,323

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Solution

The third proportional to 215,227,425,300 and 462,395,293,323 is: 993,411,536,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,227,425,300 : 462,395,293,323 = 462,395,293,323 : x
  2. Step 2: Convert to fraction form
    215,227,425,300/462,395,293,323 = 462,395,293,323/x
  3. Step 3: Cross multiply
    215,227,425,300x = 462,395,293,323 × 462,395,293,323
  4. Step 4: Simplify right side
    215,227,425,300x = 213,809,407,287,263,221,514,240
  5. Step 5: Solve for x
    x = 213,809,407,287,263,221,514,240/215,227,425,300
  6. Step 6: Final answer
    x = 993,411,536,607.10

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