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Finding the Third Proportional to 291,557,003,499 and 454,381,507,966.48

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Solution

The third proportional to 291,557,003,499 and 454,381,507,966.48 is: 708,137,867,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,557,003,499 : 454,381,507,966.48 = 454,381,507,966.48 : x
  2. Step 2: Convert to fraction form
    291,557,003,499/454,381,507,966.48 = 454,381,507,966.48/x
  3. Step 3: Cross multiply
    291,557,003,499x = 454,381,507,966.48 × 454,381,507,966.48
  4. Step 4: Simplify right side
    291,557,003,499x = 206,462,554,781,892,307,058,688
  5. Step 5: Solve for x
    x = 206,462,554,781,892,307,058,688/291,557,003,499
  6. Step 6: Final answer
    x = 708,137,867,738.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.