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Finding the Third Proportional to 2,875,041,864 and 4,301,069,850

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Solution

The third proportional to 2,875,041,864 and 4,301,069,850 is: 6,434,411,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875,041,864 : 4,301,069,850 = 4,301,069,850 : x
  2. Step 2: Convert to fraction form
    2,875,041,864/4,301,069,850 = 4,301,069,850/x
  3. Step 3: Cross multiply
    2,875,041,864x = 4,301,069,850 × 4,301,069,850
  4. Step 4: Simplify right side
    2,875,041,864x = 18,499,201,854,579,023,872
  5. Step 5: Solve for x
    x = 18,499,201,854,579,023,872/2,875,041,864
  6. Step 6: Final answer
    x = 6,434,411,298.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.