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Finding the Third Proportional to 32,851,152 and 76,048,294

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Solution

The third proportional to 32,851,152 and 76,048,294 is: 176,046,886.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,851,152 : 76,048,294 = 76,048,294 : x
  2. Step 2: Convert to fraction form
    32,851,152/76,048,294 = 76,048,294/x
  3. Step 3: Cross multiply
    32,851,152x = 76,048,294 × 76,048,294
  4. Step 4: Simplify right side
    32,851,152x = 5,783,343,020,310,436
  5. Step 5: Solve for x
    x = 5,783,343,020,310,436/32,851,152
  6. Step 6: Final answer
    x = 176,046,886.28

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.