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Finding the Third Proportional to 78,867,862,400 and 175,369,453,312

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Solution

The third proportional to 78,867,862,400 and 175,369,453,312 is: 389,949,013,692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,867,862,400 : 175,369,453,312 = 175,369,453,312 : x
  2. Step 2: Convert to fraction form
    78,867,862,400/175,369,453,312 = 175,369,453,312/x
  3. Step 3: Cross multiply
    78,867,862,400x = 175,369,453,312 × 175,369,453,312
  4. Step 4: Simplify right side
    78,867,862,400x = 30,754,445,154,949,747,703,808
  5. Step 5: Solve for x
    x = 30,754,445,154,949,747,703,808/78,867,862,400
  6. Step 6: Final answer
    x = 389,949,013,692.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.