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Finding the Third Proportional to 15,730,886,172 and 33,705,582,663

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Solution

The third proportional to 15,730,886,172 and 33,705,582,663 is: 72,218,836,893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730,886,172 : 33,705,582,663 = 33,705,582,663 : x
  2. Step 2: Convert to fraction form
    15,730,886,172/33,705,582,663 = 33,705,582,663/x
  3. Step 3: Cross multiply
    15,730,886,172x = 33,705,582,663 × 33,705,582,663
  4. Step 4: Simplify right side
    15,730,886,172x = 1,136,066,302,652,326,215,680
  5. Step 5: Solve for x
    x = 1,136,066,302,652,326,215,680/15,730,886,172
  6. Step 6: Final answer
    x = 72,218,836,893.91

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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.