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Finding the Third Proportional to 721,814,814 and 1,547,224,630

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Solution

The third proportional to 721,814,814 and 1,547,224,630 is: 3,316,507,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,814,814 : 1,547,224,630 = 1,547,224,630 : x
  2. Step 2: Convert to fraction form
    721,814,814/1,547,224,630 = 1,547,224,630/x
  3. Step 3: Cross multiply
    721,814,814x = 1,547,224,630 × 1,547,224,630
  4. Step 4: Simplify right side
    721,814,814x = 2,393,904,055,678,637,056
  5. Step 5: Solve for x
    x = 2,393,904,055,678,637,056/721,814,814
  6. Step 6: Final answer
    x = 3,316,507,238.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.