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Finding the Third Proportional to 127,153,413 and 274,634,262

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Solution

The third proportional to 127,153,413 and 274,634,262 is: 593,173,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,153,413 : 274,634,262 = 274,634,262 : x
  2. Step 2: Convert to fraction form
    127,153,413/274,634,262 = 274,634,262/x
  3. Step 3: Cross multiply
    127,153,413x = 274,634,262 × 274,634,262
  4. Step 4: Simplify right side
    127,153,413x = 75,423,977,864,284,640
  5. Step 5: Solve for x
    x = 75,423,977,864,284,640/127,153,413
  6. Step 6: Final answer
    x = 593,173,050.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.