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Finding the Third Proportional to 24,575,410,206 and 53,934,302,263.50

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Solution

The third proportional to 24,575,410,206 and 53,934,302,263.50 is: 118,366,649,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,575,410,206 : 53,934,302,263.50 = 53,934,302,263.50 : x
  2. Step 2: Convert to fraction form
    24,575,410,206/53,934,302,263.50 = 53,934,302,263.50/x
  3. Step 3: Cross multiply
    24,575,410,206x = 53,934,302,263.50 × 53,934,302,263.50
  4. Step 4: Simplify right side
    24,575,410,206x = 2,908,908,960,650,580,983,808
  5. Step 5: Solve for x
    x = 2,908,908,960,650,580,983,808/24,575,410,206
  6. Step 6: Final answer
    x = 118,366,649,275.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.