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Finding the Third Proportional to 24,742,376 and 53,316,640

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Solution

The third proportional to 24,742,376 and 53,316,640 is: 114,890,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742,376 : 53,316,640 = 53,316,640 : x
  2. Step 2: Convert to fraction form
    24,742,376/53,316,640 = 53,316,640/x
  3. Step 3: Cross multiply
    24,742,376x = 53,316,640 × 53,316,640
  4. Step 4: Simplify right side
    24,742,376x = 2,842,664,100,889,600
  5. Step 5: Solve for x
    x = 2,842,664,100,889,600/24,742,376
  6. Step 6: Final answer
    x = 114,890,506.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.