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Finding the Third Proportional to 6,977,118,496 and 10,724,312,364

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Solution

The third proportional to 6,977,118,496 and 10,724,312,364 is: 16,484,007,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977,118,496 : 10,724,312,364 = 10,724,312,364 : x
  2. Step 2: Convert to fraction form
    6,977,118,496/10,724,312,364 = 10,724,312,364/x
  3. Step 3: Cross multiply
    6,977,118,496x = 10,724,312,364 × 10,724,312,364
  4. Step 4: Simplify right side
    6,977,118,496x = 115,010,875,680,643,268,608
  5. Step 5: Solve for x
    x = 115,010,875,680,643,268,608/6,977,118,496
  6. Step 6: Final answer
    x = 16,484,007,795.85

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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.