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Finding the Third Proportional to 873,942,707 and 1,872,541,407

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Solution

The third proportional to 873,942,707 and 1,872,541,407 is: 4,012,175,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,942,707 : 1,872,541,407 = 1,872,541,407 : x
  2. Step 2: Convert to fraction form
    873,942,707/1,872,541,407 = 1,872,541,407/x
  3. Step 3: Cross multiply
    873,942,707x = 1,872,541,407 × 1,872,541,407
  4. Step 4: Simplify right side
    873,942,707x = 3,506,411,320,929,539,584
  5. Step 5: Solve for x
    x = 3,506,411,320,929,539,584/873,942,707
  6. Step 6: Final answer
    x = 4,012,175,275.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.