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Finding the Third Proportional to 212,368,299,905 and 455,028,007,810

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Solution

The third proportional to 212,368,299,905 and 455,028,007,810 is: 974,959,483,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,368,299,905 : 455,028,007,810 = 455,028,007,810 : x
  2. Step 2: Convert to fraction form
    212,368,299,905/455,028,007,810 = 455,028,007,810/x
  3. Step 3: Cross multiply
    212,368,299,905x = 455,028,007,810 × 455,028,007,810
  4. Step 4: Simplify right side
    212,368,299,905x = 207,050,487,891,537,424,285,696
  5. Step 5: Solve for x
    x = 207,050,487,891,537,424,285,696/212,368,299,905
  6. Step 6: Final answer
    x = 974,959,483,049.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.