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Finding the Third Proportional to 45,646,480 and 98,483,424

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Solution

The third proportional to 45,646,480 and 98,483,424 is: 212,480,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,646,480 : 98,483,424 = 98,483,424 : x
  2. Step 2: Convert to fraction form
    45,646,480/98,483,424 = 98,483,424/x
  3. Step 3: Cross multiply
    45,646,480x = 98,483,424 × 98,483,424
  4. Step 4: Simplify right side
    45,646,480x = 9,698,984,802,763,776
  5. Step 5: Solve for x
    x = 9,698,984,802,763,776/45,646,480
  6. Step 6: Final answer
    x = 212,480,454.19

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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.