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Finding the Third Proportional to 7,931,172,140 and 11,865,312,584

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Solution

The third proportional to 7,931,172,140 and 11,865,312,584 is: 17,750,925,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931,172,140 : 11,865,312,584 = 11,865,312,584 : x
  2. Step 2: Convert to fraction form
    7,931,172,140/11,865,312,584 = 11,865,312,584/x
  3. Step 3: Cross multiply
    7,931,172,140x = 11,865,312,584 × 11,865,312,584
  4. Step 4: Simplify right side
    7,931,172,140x = 140,785,642,716,028,764,160
  5. Step 5: Solve for x
    x = 140,785,642,716,028,764,160/7,931,172,140
  6. Step 6: Final answer
    x = 17,750,925,113.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.