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Finding the Third Proportional to 562,551,963.47 and 1,211,506,966.13

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Solution

The third proportional to 562,551,963.47 and 1,211,506,966.13 is: 2,609,090,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,551,963.47 : 1,211,506,966.13 = 1,211,506,966.13 : x
  2. Step 2: Convert to fraction form
    562,551,963.47/1,211,506,966.13 = 1,211,506,966.13/x
  3. Step 3: Cross multiply
    562,551,963.47x = 1,211,506,966.13 × 1,211,506,966.13
  4. Step 4: Simplify right side
    562,551,963.47x = 1,467,749,128,969,401,856
  5. Step 5: Solve for x
    x = 1,467,749,128,969,401,856/562,551,963.47
  6. Step 6: Final answer
    x = 2,609,090,758.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.