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Finding the Third Proportional to 276,521,041.69 and 592,484,005.13

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Solution

The third proportional to 276,521,041.69 and 592,484,005.13 is: 1,269,477,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,521,041.69 : 592,484,005.13 = 592,484,005.13 : x
  2. Step 2: Convert to fraction form
    276,521,041.69/592,484,005.13 = 592,484,005.13/x
  3. Step 3: Cross multiply
    276,521,041.69x = 592,484,005.13 × 592,484,005.13
  4. Step 4: Simplify right side
    276,521,041.69x = 351,037,296,328,961,024
  5. Step 5: Solve for x
    x = 351,037,296,328,961,024/276,521,041.69
  6. Step 6: Final answer
    x = 1,269,477,701.18

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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.