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Finding the Third Proportional to 2,315,705,076 and 3,578,148,216

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Solution

The third proportional to 2,315,705,076 and 3,578,148,216 is: 5,528,832,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315,705,076 : 3,578,148,216 = 3,578,148,216 : x
  2. Step 2: Convert to fraction form
    2,315,705,076/3,578,148,216 = 3,578,148,216/x
  3. Step 3: Cross multiply
    2,315,705,076x = 3,578,148,216 × 3,578,148,216
  4. Step 4: Simplify right side
    2,315,705,076x = 12,803,144,655,663,982,592
  5. Step 5: Solve for x
    x = 12,803,144,655,663,982,592/2,315,705,076
  6. Step 6: Final answer
    x = 5,528,832,142.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.