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Finding the Third Proportional to 1,047,730,084 and 1,746,111,571

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Solution

The third proportional to 1,047,730,084 and 1,746,111,571 is: 2,910,010,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,730,084 : 1,746,111,571 = 1,746,111,571 : x
  2. Step 2: Convert to fraction form
    1,047,730,084/1,746,111,571 = 1,746,111,571/x
  3. Step 3: Cross multiply
    1,047,730,084x = 1,746,111,571 × 1,746,111,571
  4. Step 4: Simplify right side
    1,047,730,084x = 3,048,905,618,380,087,808
  5. Step 5: Solve for x
    x = 3,048,905,618,380,087,808/1,047,730,084
  6. Step 6: Final answer
    x = 2,910,010,569.46

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.