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Finding the Third Proportional to 576,564,344 and 1,243,827,808

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Solution

The third proportional to 576,564,344 and 1,243,827,808 is: 2,683,321,700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,564,344 : 1,243,827,808 = 1,243,827,808 : x
  2. Step 2: Convert to fraction form
    576,564,344/1,243,827,808 = 1,243,827,808/x
  3. Step 3: Cross multiply
    576,564,344x = 1,243,827,808 × 1,243,827,808
  4. Step 4: Simplify right side
    576,564,344x = 1,547,107,615,954,084,864
  5. Step 5: Solve for x
    x = 1,547,107,615,954,084,864/576,564,344
  6. Step 6: Final answer
    x = 2,683,321,700.44

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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.