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Finding the Third Proportional to 48,975,905.25 and 70,798,320

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Solution

The third proportional to 48,975,905.25 and 70,798,320 is: 102,344,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,975,905.25 : 70,798,320 = 70,798,320 : x
  2. Step 2: Convert to fraction form
    48,975,905.25/70,798,320 = 70,798,320/x
  3. Step 3: Cross multiply
    48,975,905.25x = 70,798,320 × 70,798,320
  4. Step 4: Simplify right side
    48,975,905.25x = 5,012,402,114,822,400
  5. Step 5: Solve for x
    x = 5,012,402,114,822,400/48,975,905.25
  6. Step 6: Final answer
    x = 102,344,246.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.