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Finding the Third Proportional to 2,983,402,050 and 4,680,077,410

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Solution

The third proportional to 2,983,402,050 and 4,680,077,410 is: 7,341,660,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983,402,050 : 4,680,077,410 = 4,680,077,410 : x
  2. Step 2: Convert to fraction form
    2,983,402,050/4,680,077,410 = 4,680,077,410/x
  3. Step 3: Cross multiply
    2,983,402,050x = 4,680,077,410 × 4,680,077,410
  4. Step 4: Simplify right side
    2,983,402,050x = 21,903,124,563,592,306,688
  5. Step 5: Solve for x
    x = 21,903,124,563,592,306,688/2,983,402,050
  6. Step 6: Final answer
    x = 7,341,660,358.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.