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Finding the Third Proportional to 53,154,068 and 83,274,028

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Solution

The third proportional to 53,154,068 and 83,274,028 is: 130,461,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,154,068 : 83,274,028 = 83,274,028 : x
  2. Step 2: Convert to fraction form
    53,154,068/83,274,028 = 83,274,028/x
  3. Step 3: Cross multiply
    53,154,068x = 83,274,028 × 83,274,028
  4. Step 4: Simplify right side
    53,154,068x = 6,934,563,739,344,784
  5. Step 5: Solve for x
    x = 6,934,563,739,344,784/53,154,068
  6. Step 6: Final answer
    x = 130,461,580.84

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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.