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Finding the Third Proportional to 71,782,913,826 and 157,074,979,248

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Solution

The third proportional to 71,782,913,826 and 157,074,979,248 is: 343,710,610,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,782,913,826 : 157,074,979,248 = 157,074,979,248 : x
  2. Step 2: Convert to fraction form
    71,782,913,826/157,074,979,248 = 157,074,979,248/x
  3. Step 3: Cross multiply
    71,782,913,826x = 157,074,979,248 × 157,074,979,248
  4. Step 4: Simplify right side
    71,782,913,826x = 24,672,549,105,759,632,228,352
  5. Step 5: Solve for x
    x = 24,672,549,105,759,632,228,352/71,782,913,826
  6. Step 6: Final answer
    x = 343,710,610,098.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.