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Finding the Third Proportional to 53,832,455 and 83,516,705.50

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Solution

The third proportional to 53,832,455 and 83,516,705.50 is: 129,569,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,832,455 : 83,516,705.50 = 83,516,705.50 : x
  2. Step 2: Convert to fraction form
    53,832,455/83,516,705.50 = 83,516,705.50/x
  3. Step 3: Cross multiply
    53,832,455x = 83,516,705.50 × 83,516,705.50
  4. Step 4: Simplify right side
    53,832,455x = 6,975,040,097,573,730
  5. Step 5: Solve for x
    x = 6,975,040,097,573,730/53,832,455
  6. Step 6: Final answer
    x = 129,569,422.34

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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.