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Finding the Third Proportional to 535,564,563,448 and 1,165,268,506,958

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Solution

The third proportional to 535,564,563,448 and 1,165,268,506,958 is: 2,535,363,214,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,564,563,448 : 1,165,268,506,958 = 1,165,268,506,958 : x
  2. Step 2: Convert to fraction form
    535,564,563,448/1,165,268,506,958 = 1,165,268,506,958/x
  3. Step 3: Cross multiply
    535,564,563,448x = 1,165,268,506,958 × 1,165,268,506,958
  4. Step 4: Simplify right side
    535,564,563,448x = 1,357,850,693,308,126,364,434,432
  5. Step 5: Solve for x
    x = 1,357,850,693,308,126,364,434,432/535,564,563,448
  6. Step 6: Final answer
    x = 2,535,363,214,784.40

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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.