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Finding the Third Proportional to 642,937,206 and 1,363,130,376

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Solution

The third proportional to 642,937,206 and 1,363,130,376 is: 2,890,055,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,937,206 : 1,363,130,376 = 1,363,130,376 : x
  2. Step 2: Convert to fraction form
    642,937,206/1,363,130,376 = 1,363,130,376/x
  3. Step 3: Cross multiply
    642,937,206x = 1,363,130,376 × 1,363,130,376
  4. Step 4: Simplify right side
    642,937,206x = 1,858,124,421,973,901,312
  5. Step 5: Solve for x
    x = 1,858,124,421,973,901,312/642,937,206
  6. Step 6: Final answer
    x = 2,890,055,832.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.