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Finding the Third Proportional to 576,564,352 and 1,243,827,824

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Solution

The third proportional to 576,564,352 and 1,243,827,824 is: 2,683,321,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,564,352 : 1,243,827,824 = 1,243,827,824 : x
  2. Step 2: Convert to fraction form
    576,564,352/1,243,827,824 = 1,243,827,824/x
  3. Step 3: Cross multiply
    576,564,352x = 1,243,827,824 × 1,243,827,824
  4. Step 4: Simplify right side
    576,564,352x = 1,547,107,655,756,574,976
  5. Step 5: Solve for x
    x = 1,547,107,655,756,574,976/576,564,352
  6. Step 6: Final answer
    x = 2,683,321,732.24

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