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Finding the Third Proportional to 286,095,266 and 617,927,251

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Solution

The third proportional to 286,095,266 and 617,927,251 is: 1,334,639,656.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,095,266 : 617,927,251 = 617,927,251 : x
  2. Step 2: Convert to fraction form
    286,095,266/617,927,251 = 617,927,251/x
  3. Step 3: Cross multiply
    286,095,266x = 617,927,251 × 617,927,251
  4. Step 4: Simplify right side
    286,095,266x = 381,834,087,528,417,024
  5. Step 5: Solve for x
    x = 381,834,087,528,417,024/286,095,266
  6. Step 6: Final answer
    x = 1,334,639,656.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.