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Finding the Third Proportional to 260,442,389,052 and 542,287,829,232

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Solution

The third proportional to 260,442,389,052 and 542,287,829,232 is: 1,129,140,654,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,442,389,052 : 542,287,829,232 = 542,287,829,232 : x
  2. Step 2: Convert to fraction form
    260,442,389,052/542,287,829,232 = 542,287,829,232/x
  3. Step 3: Cross multiply
    260,442,389,052x = 542,287,829,232 × 542,287,829,232
  4. Step 4: Simplify right side
    260,442,389,052x = 294,076,089,733,154,802,237,440
  5. Step 5: Solve for x
    x = 294,076,089,733,154,802,237,440/260,442,389,052
  6. Step 6: Final answer
    x = 1,129,140,654,881.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.