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Finding the Third Proportional to 5,138,653,280.50 and 8,176,607,547

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Solution

The third proportional to 5,138,653,280.50 and 8,176,607,547 is: 13,010,589,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138,653,280.50 : 8,176,607,547 = 8,176,607,547 : x
  2. Step 2: Convert to fraction form
    5,138,653,280.50/8,176,607,547 = 8,176,607,547/x
  3. Step 3: Cross multiply
    5,138,653,280.50x = 8,176,607,547 × 8,176,607,547
  4. Step 4: Simplify right side
    5,138,653,280.50x = 66,856,910,977,657,356,288
  5. Step 5: Solve for x
    x = 66,856,910,977,657,356,288/5,138,653,280.50
  6. Step 6: Final answer
    x = 13,010,589,998.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.