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Finding the Third Proportional to 10,772,527 and 23,038,047

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Solution

The third proportional to 10,772,527 and 23,038,047 is: 49,268,997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772,527 : 23,038,047 = 23,038,047 : x
  2. Step 2: Convert to fraction form
    10,772,527/23,038,047 = 23,038,047/x
  3. Step 3: Cross multiply
    10,772,527x = 23,038,047 × 23,038,047
  4. Step 4: Simplify right side
    10,772,527x = 530,751,609,574,209
  5. Step 5: Solve for x
    x = 530,751,609,574,209/10,772,527
  6. Step 6: Final answer
    x = 49,268,997.85

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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.