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Finding the Third Proportional to 516,340,626,543 and 1,105,214,838,346

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Solution

The third proportional to 516,340,626,543 and 1,105,214,838,346 is: 2,365,686,091,908.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,340,626,543 : 1,105,214,838,346 = 1,105,214,838,346 : x
  2. Step 2: Convert to fraction form
    516,340,626,543/1,105,214,838,346 = 1,105,214,838,346/x
  3. Step 3: Cross multiply
    516,340,626,543x = 1,105,214,838,346 × 1,105,214,838,346
  4. Step 4: Simplify right side
    516,340,626,543x = 1,221,499,838,900,175,034,646,528
  5. Step 5: Solve for x
    x = 1,221,499,838,900,175,034,646,528/516,340,626,543
  6. Step 6: Final answer
    x = 2,365,686,091,908.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.