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Finding the Third Proportional to 4,878,625,875 and 6,582,411,691.50

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Solution

The third proportional to 4,878,625,875 and 6,582,411,691.50 is: 8,881,218,766.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878,625,875 : 6,582,411,691.50 = 6,582,411,691.50 : x
  2. Step 2: Convert to fraction form
    4,878,625,875/6,582,411,691.50 = 6,582,411,691.50/x
  3. Step 3: Cross multiply
    4,878,625,875x = 6,582,411,691.50 × 6,582,411,691.50
  4. Step 4: Simplify right side
    4,878,625,875x = 43,328,143,676,395,888,640
  5. Step 5: Solve for x
    x = 43,328,143,676,395,888,640/4,878,625,875
  6. Step 6: Final answer
    x = 8,881,218,766.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.