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Finding the Third Proportional to 6,977,118,498 and 10,724,312,367

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Solution

The third proportional to 6,977,118,498 and 10,724,312,367 is: 16,484,007,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977,118,498 : 10,724,312,367 = 10,724,312,367 : x
  2. Step 2: Convert to fraction form
    6,977,118,498/10,724,312,367 = 10,724,312,367/x
  3. Step 3: Cross multiply
    6,977,118,498x = 10,724,312,367 × 10,724,312,367
  4. Step 4: Simplify right side
    6,977,118,498x = 115,010,875,744,989,134,848
  5. Step 5: Solve for x
    x = 115,010,875,744,989,134,848/6,977,118,498
  6. Step 6: Final answer
    x = 16,484,007,800.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.