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Finding the Third Proportional to 640,841,348 and 1,315,655,352

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Solution

The third proportional to 640,841,348 and 1,315,655,352 is: 2,701,056,994.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,841,348 : 1,315,655,352 = 1,315,655,352 : x
  2. Step 2: Convert to fraction form
    640,841,348/1,315,655,352 = 1,315,655,352/x
  3. Step 3: Cross multiply
    640,841,348x = 1,315,655,352 × 1,315,655,352
  4. Step 4: Simplify right side
    640,841,348x = 1,730,949,005,246,243,840
  5. Step 5: Solve for x
    x = 1,730,949,005,246,243,840/640,841,348
  6. Step 6: Final answer
    x = 2,701,056,994.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.