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Finding the Third Proportional to 9,157,030,416 and 19,835,312,760

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Solution

The third proportional to 9,157,030,416 and 19,835,312,760 is: 42,965,854,039.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157,030,416 : 19,835,312,760 = 19,835,312,760 : x
  2. Step 2: Convert to fraction form
    9,157,030,416/19,835,312,760 = 19,835,312,760/x
  3. Step 3: Cross multiply
    9,157,030,416x = 19,835,312,760 × 19,835,312,760
  4. Step 4: Simplify right side
    9,157,030,416x = 393,439,632,287,018,844,160
  5. Step 5: Solve for x
    x = 393,439,632,287,018,844,160/9,157,030,416
  6. Step 6: Final answer
    x = 42,965,854,039.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.