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Finding the Third Proportional to 5,713,482,762,510 and 12,335,856,472,380

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Solution

The third proportional to 5,713,482,762,510 and 12,335,856,472,380 is: 26,634,079,638,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713,482,762,510 : 12,335,856,472,380 = 12,335,856,472,380 : x
  2. Step 2: Convert to fraction form
    5,713,482,762,510/12,335,856,472,380 = 12,335,856,472,380/x
  3. Step 3: Cross multiply
    5,713,482,762,510x = 12,335,856,472,380 × 12,335,856,472,380
  4. Step 4: Simplify right side
    5,713,482,762,510x = 152,173,354,907,159,539,551,830,016
  5. Step 5: Solve for x
    x = 152,173,354,907,159,539,551,830,016/5,713,482,762,510
  6. Step 6: Final answer
    x = 26,634,079,638,022.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.