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Finding the Third Proportional to 357,639,654 and 546,724,377

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Solution

The third proportional to 357,639,654 and 546,724,377 is: 835,778,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,639,654 : 546,724,377 = 546,724,377 : x
  2. Step 2: Convert to fraction form
    357,639,654/546,724,377 = 546,724,377/x
  3. Step 3: Cross multiply
    357,639,654x = 546,724,377 × 546,724,377
  4. Step 4: Simplify right side
    357,639,654x = 298,907,544,406,038,144
  5. Step 5: Solve for x
    x = 298,907,544,406,038,144/357,639,654
  6. Step 6: Final answer
    x = 835,778,530.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.