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Finding the Third Proportional to 15,730,886,174.50 and 33,705,582,671

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Solution

The third proportional to 15,730,886,174.50 and 33,705,582,671 is: 72,218,836,916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730,886,174.50 : 33,705,582,671 = 33,705,582,671 : x
  2. Step 2: Convert to fraction form
    15,730,886,174.50/33,705,582,671 = 33,705,582,671/x
  3. Step 3: Cross multiply
    15,730,886,174.50x = 33,705,582,671 × 33,705,582,671
  4. Step 4: Simplify right side
    15,730,886,174.50x = 1,136,066,303,191,615,537,152
  5. Step 5: Solve for x
    x = 1,136,066,303,191,615,537,152/15,730,886,174.50
  6. Step 6: Final answer
    x = 72,218,836,916.71

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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.