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Finding the Third Proportional to 277,654,849,299 and 390,999,211,746.75

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Solution

The third proportional to 277,654,849,299 and 390,999,211,746.75 is: 550,613,050,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,654,849,299 : 390,999,211,746.75 = 390,999,211,746.75 : x
  2. Step 2: Convert to fraction form
    277,654,849,299/390,999,211,746.75 = 390,999,211,746.75/x
  3. Step 3: Cross multiply
    277,654,849,299x = 390,999,211,746.75 × 390,999,211,746.75
  4. Step 4: Simplify right side
    277,654,849,299x = 152,880,383,586,579,827,916,800
  5. Step 5: Solve for x
    x = 152,880,383,586,579,827,916,800/277,654,849,299
  6. Step 6: Final answer
    x = 550,613,050,600.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.