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Finding the Third Proportional to 15,698,423,353.22 and 24,129,602,209.83

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Solution

The third proportional to 15,698,423,353.22 and 24,129,602,209.83 is: 37,088,928,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698,423,353.22 : 24,129,602,209.83 = 24,129,602,209.83 : x
  2. Step 2: Convert to fraction form
    15,698,423,353.22/24,129,602,209.83 = 24,129,602,209.83/x
  3. Step 3: Cross multiply
    15,698,423,353.22x = 24,129,602,209.83 × 24,129,602,209.83
  4. Step 4: Simplify right side
    15,698,423,353.22x = 582,237,702,804,536,229,888
  5. Step 5: Solve for x
    x = 582,237,702,804,536,229,888/15,698,423,353.22
  6. Step 6: Final answer
    x = 37,088,928,595.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.