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Finding the Third Proportional to 562,446,387.50 and 1,223,906,070.50

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Solution

The third proportional to 562,446,387.50 and 1,223,906,070.50 is: 2,663,269,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,446,387.50 : 1,223,906,070.50 = 1,223,906,070.50 : x
  2. Step 2: Convert to fraction form
    562,446,387.50/1,223,906,070.50 = 1,223,906,070.50/x
  3. Step 3: Cross multiply
    562,446,387.50x = 1,223,906,070.50 × 1,223,906,070.50
  4. Step 4: Simplify right side
    562,446,387.50x = 1,497,946,069,406,750,976
  5. Step 5: Solve for x
    x = 1,497,946,069,406,750,976/562,446,387.50
  6. Step 6: Final answer
    x = 2,663,269,073.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.