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Finding the Third Proportional to 24,742,365 and 53,316,624

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Solution

The third proportional to 24,742,365 and 53,316,624 is: 114,890,488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742,365 : 53,316,624 = 53,316,624 : x
  2. Step 2: Convert to fraction form
    24,742,365/53,316,624 = 53,316,624/x
  3. Step 3: Cross multiply
    24,742,365x = 53,316,624 × 53,316,624
  4. Step 4: Simplify right side
    24,742,365x = 2,842,662,394,757,376
  5. Step 5: Solve for x
    x = 2,842,662,394,757,376/24,742,365
  6. Step 6: Final answer
    x = 114,890,488.23

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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.