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Finding the Third Proportional to 4,876,360,905 and 10,684,337,850

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Solution

The third proportional to 4,876,360,905 and 10,684,337,850 is: 23,409,890,596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876,360,905 : 10,684,337,850 = 10,684,337,850 : x
  2. Step 2: Convert to fraction form
    4,876,360,905/10,684,337,850 = 10,684,337,850/x
  3. Step 3: Cross multiply
    4,876,360,905x = 10,684,337,850 × 10,684,337,850
  4. Step 4: Simplify right side
    4,876,360,905x = 114,155,075,292,942,614,528
  5. Step 5: Solve for x
    x = 114,155,075,292,942,614,528/4,876,360,905
  6. Step 6: Final answer
    x = 23,409,890,596.06

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Why These Related Problems?

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