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Finding the Third Proportional to 357,639,650 and 546,724,371

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Solution

The third proportional to 357,639,650 and 546,724,371 is: 835,778,521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,639,650 : 546,724,371 = 546,724,371 : x
  2. Step 2: Convert to fraction form
    357,639,650/546,724,371 = 546,724,371/x
  3. Step 3: Cross multiply
    357,639,650x = 546,724,371 × 546,724,371
  4. Step 4: Simplify right side
    357,639,650x = 298,907,537,845,345,664
  5. Step 5: Solve for x
    x = 298,907,537,845,345,664/357,639,650
  6. Step 6: Final answer
    x = 835,778,521.33

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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.