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Finding the Third Proportional to 48,781,312 and 71,824,276

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Solution

The third proportional to 48,781,312 and 71,824,276 is: 105,752,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,781,312 : 71,824,276 = 71,824,276 : x
  2. Step 2: Convert to fraction form
    48,781,312/71,824,276 = 71,824,276/x
  3. Step 3: Cross multiply
    48,781,312x = 71,824,276 × 71,824,276
  4. Step 4: Simplify right side
    48,781,312x = 5,158,726,622,924,176
  5. Step 5: Solve for x
    x = 5,158,726,622,924,176/48,781,312
  6. Step 6: Final answer
    x = 105,752,108.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.