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Finding the Third Proportional to 611,345,580 and 1,342,791,316

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Solution

The third proportional to 611,345,580 and 1,342,791,316 is: 2,949,376,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,345,580 : 1,342,791,316 = 1,342,791,316 : x
  2. Step 2: Convert to fraction form
    611,345,580/1,342,791,316 = 1,342,791,316/x
  3. Step 3: Cross multiply
    611,345,580x = 1,342,791,316 × 1,342,791,316
  4. Step 4: Simplify right side
    611,345,580x = 1,803,088,518,325,011,968
  5. Step 5: Solve for x
    x = 1,803,088,518,325,011,968/611,345,580
  6. Step 6: Final answer
    x = 2,949,376,878.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.