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Finding the Third Proportional to 576,254,054 and 1,261,797,196

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Solution

The third proportional to 576,254,054 and 1,261,797,196 is: 2,762,899,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,254,054 : 1,261,797,196 = 1,261,797,196 : x
  2. Step 2: Convert to fraction form
    576,254,054/1,261,797,196 = 1,261,797,196/x
  3. Step 3: Cross multiply
    576,254,054x = 1,261,797,196 × 1,261,797,196
  4. Step 4: Simplify right side
    576,254,054x = 1,592,132,163,833,462,528
  5. Step 5: Solve for x
    x = 1,592,132,163,833,462,528/576,254,054
  6. Step 6: Final answer
    x = 2,762,899,718.94

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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.