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Finding the Third Proportional to 53,472,276 and 77,955,102

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Solution

The third proportional to 53,472,276 and 77,955,102 is: 113,647,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,472,276 : 77,955,102 = 77,955,102 : x
  2. Step 2: Convert to fraction form
    53,472,276/77,955,102 = 77,955,102/x
  3. Step 3: Cross multiply
    53,472,276x = 77,955,102 × 77,955,102
  4. Step 4: Simplify right side
    53,472,276x = 6,076,997,927,830,404
  5. Step 5: Solve for x
    x = 6,076,997,927,830,404/53,472,276
  6. Step 6: Final answer
    x = 113,647,639.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.