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Finding the Third Proportional to 53,154,009 and 83,273,940

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Solution

The third proportional to 53,154,009 and 83,273,940 is: 130,461,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,154,009 : 83,273,940 = 83,273,940 : x
  2. Step 2: Convert to fraction form
    53,154,009/83,273,940 = 83,273,940/x
  3. Step 3: Cross multiply
    53,154,009x = 83,273,940 × 83,273,940
  4. Step 4: Simplify right side
    53,154,009x = 6,934,549,083,123,600
  5. Step 5: Solve for x
    x = 6,934,549,083,123,600/53,154,009
  6. Step 6: Final answer
    x = 130,461,449.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.