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Finding the Third Proportional to 2,959,864,289,376 and 4,709,725,946,784

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Solution

The third proportional to 2,959,864,289,376 and 4,709,725,946,784 is: 7,494,099,838,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959,864,289,376 : 4,709,725,946,784 = 4,709,725,946,784 : x
  2. Step 2: Convert to fraction form
    2,959,864,289,376/4,709,725,946,784 = 4,709,725,946,784/x
  3. Step 3: Cross multiply
    2,959,864,289,376x = 4,709,725,946,784 × 4,709,725,946,784
  4. Step 4: Simplify right side
    2,959,864,289,376x = 22,181,518,493,810,446,307,426,304
  5. Step 5: Solve for x
    x = 22,181,518,493,810,446,307,426,304/2,959,864,289,376
  6. Step 6: Final answer
    x = 7,494,099,838,775.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.