Home / 10,772,520.19-23,038,032.38

Finding the Third Proportional to 10,772,520.19 and 23,038,032.38

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Solution

The third proportional to 10,772,520.19 and 23,038,032.38 is: 49,268,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772,520.19 : 23,038,032.38 = 23,038,032.38 : x
  2. Step 2: Convert to fraction form
    10,772,520.19/23,038,032.38 = 23,038,032.38/x
  3. Step 3: Cross multiply
    10,772,520.19x = 23,038,032.38 × 23,038,032.38
  4. Step 4: Simplify right side
    10,772,520.19x = 530,750,935,711,548.12
  5. Step 5: Solve for x
    x = 530,750,935,711,548.12/10,772,520.19
  6. Step 6: Final answer
    x = 49,268,966.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.