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Finding the Third Proportional to 1,654,964,730 and 3,600,492,984

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Solution

The third proportional to 1,654,964,730 and 3,600,492,984 is: 7,833,127,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,964,730 : 3,600,492,984 = 3,600,492,984 : x
  2. Step 2: Convert to fraction form
    1,654,964,730/3,600,492,984 = 3,600,492,984/x
  3. Step 3: Cross multiply
    1,654,964,730x = 3,600,492,984 × 3,600,492,984
  4. Step 4: Simplify right side
    1,654,964,730x = 12,963,549,727,833,225,216
  5. Step 5: Solve for x
    x = 12,963,549,727,833,225,216/1,654,964,730
  6. Step 6: Final answer
    x = 7,833,127,493.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.