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Finding the Third Proportional to 31,059,748 and 48,043,261

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Solution

The third proportional to 31,059,748 and 48,043,261 is: 74,313,382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059,748 : 48,043,261 = 48,043,261 : x
  2. Step 2: Convert to fraction form
    31,059,748/48,043,261 = 48,043,261/x
  3. Step 3: Cross multiply
    31,059,748x = 48,043,261 × 48,043,261
  4. Step 4: Simplify right side
    31,059,748x = 2,308,154,927,514,121
  5. Step 5: Solve for x
    x = 2,308,154,927,514,121/31,059,748
  6. Step 6: Final answer
    x = 74,313,382.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.