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Finding the Third Proportional to 59,957,909,730 and 133,321,552,046

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Solution

The third proportional to 59,957,909,730 and 133,321,552,046 is: 296,451,899,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,957,909,730 : 133,321,552,046 = 133,321,552,046 : x
  2. Step 2: Convert to fraction form
    59,957,909,730/133,321,552,046 = 133,321,552,046/x
  3. Step 3: Cross multiply
    59,957,909,730x = 133,321,552,046 × 133,321,552,046
  4. Step 4: Simplify right side
    59,957,909,730x = 17,774,636,239,954,286,477,312
  5. Step 5: Solve for x
    x = 17,774,636,239,954,286,477,312/59,957,909,730
  6. Step 6: Final answer
    x = 296,451,899,674.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.