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Finding the Third Proportional to 562,533,900 and 1,233,983,688

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Solution

The third proportional to 562,533,900 and 1,233,983,688 is: 2,706,887,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,533,900 : 1,233,983,688 = 1,233,983,688 : x
  2. Step 2: Convert to fraction form
    562,533,900/1,233,983,688 = 1,233,983,688/x
  3. Step 3: Cross multiply
    562,533,900x = 1,233,983,688 × 1,233,983,688
  4. Step 4: Simplify right side
    562,533,900x = 1,522,715,742,250,081,280
  5. Step 5: Solve for x
    x = 1,522,715,742,250,081,280/562,533,900
  6. Step 6: Final answer
    x = 2,706,887,073.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.