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Finding the Third Proportional to 24,533,681,616 and 52,513,762,452

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Solution

The third proportional to 24,533,681,616 and 52,513,762,452 is: 112,404,460,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,533,681,616 : 52,513,762,452 = 52,513,762,452 : x
  2. Step 2: Convert to fraction form
    24,533,681,616/52,513,762,452 = 52,513,762,452/x
  3. Step 3: Cross multiply
    24,533,681,616x = 52,513,762,452 × 52,513,762,452
  4. Step 4: Simplify right side
    24,533,681,616x = 2,757,695,246,865,085,235,200
  5. Step 5: Solve for x
    x = 2,757,695,246,865,085,235,200/24,533,681,616
  6. Step 6: Final answer
    x = 112,404,460,530.16

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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.