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Finding the Third Proportional to 125,847,881,428 and 269,646,226,856

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Solution

The third proportional to 125,847,881,428 and 269,646,226,856 is: 577,753,767,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,847,881,428 : 269,646,226,856 = 269,646,226,856 : x
  2. Step 2: Convert to fraction form
    125,847,881,428/269,646,226,856 = 269,646,226,856/x
  3. Step 3: Cross multiply
    125,847,881,428x = 269,646,226,856 × 269,646,226,856
  4. Step 4: Simplify right side
    125,847,881,428x = 72,709,087,657,677,413,154,816
  5. Step 5: Solve for x
    x = 72,709,087,657,677,413,154,816/125,847,881,428
  6. Step 6: Final answer
    x = 577,753,767,744.40

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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.