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Finding the Third Proportional to 611,466,172,385 and 1,330,287,553,547

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Solution

The third proportional to 611,466,172,385 and 1,330,287,553,547 is: 2,894,133,894,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,466,172,385 : 1,330,287,553,547 = 1,330,287,553,547 : x
  2. Step 2: Convert to fraction form
    611,466,172,385/1,330,287,553,547 = 1,330,287,553,547/x
  3. Step 3: Cross multiply
    611,466,172,385x = 1,330,287,553,547 × 1,330,287,553,547
  4. Step 4: Simplify right side
    611,466,172,385x = 1,769,664,975,122,062,517,469,184
  5. Step 5: Solve for x
    x = 1,769,664,975,122,062,517,469,184/611,466,172,385
  6. Step 6: Final answer
    x = 2,894,133,894,961.93

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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.