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Finding the Third Proportional to 14,802,076,266 and 32,316,599,646

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Solution

The third proportional to 14,802,076,266 and 32,316,599,646 is: 70,555,143,340.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802,076,266 : 32,316,599,646 = 32,316,599,646 : x
  2. Step 2: Convert to fraction form
    14,802,076,266/32,316,599,646 = 32,316,599,646/x
  3. Step 3: Cross multiply
    14,802,076,266x = 32,316,599,646 × 32,316,599,646
  4. Step 4: Simplify right side
    14,802,076,266x = 1,044,362,612,679,847,313,408
  5. Step 5: Solve for x
    x = 1,044,362,612,679,847,313,408/14,802,076,266
  6. Step 6: Final answer
    x = 70,555,143,340.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.