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Finding the Third Proportional to 576,564,368 and 1,243,827,856

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Solution

The third proportional to 576,564,368 and 1,243,827,856 is: 2,683,321,795.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,564,368 : 1,243,827,856 = 1,243,827,856 : x
  2. Step 2: Convert to fraction form
    576,564,368/1,243,827,856 = 1,243,827,856/x
  3. Step 3: Cross multiply
    576,564,368x = 1,243,827,856 × 1,243,827,856
  4. Step 4: Simplify right side
    576,564,368x = 1,547,107,735,361,556,736
  5. Step 5: Solve for x
    x = 1,547,107,735,361,556,736/576,564,368
  6. Step 6: Final answer
    x = 2,683,321,795.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.