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Finding the Third Proportional to 56,695,434,602 and 121,477,698,336

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Solution

The third proportional to 56,695,434,602 and 121,477,698,336 is: 260,282,530,623.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,695,434,602 : 121,477,698,336 = 121,477,698,336 : x
  2. Step 2: Convert to fraction form
    56,695,434,602/121,477,698,336 = 121,477,698,336/x
  3. Step 3: Cross multiply
    56,695,434,602x = 121,477,698,336 × 121,477,698,336
  4. Step 4: Simplify right side
    56,695,434,602x = 14,756,831,193,012,216,266,752
  5. Step 5: Solve for x
    x = 14,756,831,193,012,216,266,752/56,695,434,602
  6. Step 6: Final answer
    x = 260,282,530,623.58

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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.