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Finding the Third Proportional to 52,060,284,292 and 73,312,352,282

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Solution

The third proportional to 52,060,284,292 and 73,312,352,282 is: 103,239,947,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,060,284,292 : 73,312,352,282 = 73,312,352,282 : x
  2. Step 2: Convert to fraction form
    52,060,284,292/73,312,352,282 = 73,312,352,282/x
  3. Step 3: Cross multiply
    52,060,284,292x = 73,312,352,282 × 73,312,352,282
  4. Step 4: Simplify right side
    52,060,284,292x = 5,374,700,997,120,071,041,024
  5. Step 5: Solve for x
    x = 5,374,700,997,120,071,041,024/52,060,284,292
  6. Step 6: Final answer
    x = 103,239,947,115.43

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.