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Finding the Third Proportional to 53,784,836 and 117,602,772

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Solution

The third proportional to 53,784,836 and 117,602,772 is: 257,143,332.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,784,836 : 117,602,772 = 117,602,772 : x
  2. Step 2: Convert to fraction form
    53,784,836/117,602,772 = 117,602,772/x
  3. Step 3: Cross multiply
    53,784,836x = 117,602,772 × 117,602,772
  4. Step 4: Simplify right side
    53,784,836x = 13,830,411,982,083,984
  5. Step 5: Solve for x
    x = 13,830,411,982,083,984/53,784,836
  6. Step 6: Final answer
    x = 257,143,332.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.