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Finding the Third Proportional to 1,480,644,064.50 and 3,216,169,857

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Solution

The third proportional to 1,480,644,064.50 and 3,216,169,857 is: 6,985,979,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,644,064.50 : 3,216,169,857 = 3,216,169,857 : x
  2. Step 2: Convert to fraction form
    1,480,644,064.50/3,216,169,857 = 3,216,169,857/x
  3. Step 3: Cross multiply
    1,480,644,064.50x = 3,216,169,857 × 3,216,169,857
  4. Step 4: Simplify right side
    1,480,644,064.50x = 10,343,748,549,075,400,704
  5. Step 5: Solve for x
    x = 10,343,748,549,075,400,704/1,480,644,064.50
  6. Step 6: Final answer
    x = 6,985,979,140.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.