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Finding the Third Proportional to 7,762,260,727 and 16,884,549,852

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Solution

The third proportional to 7,762,260,727 and 16,884,549,852 is: 36,727,447,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762,260,727 : 16,884,549,852 = 16,884,549,852 : x
  2. Step 2: Convert to fraction form
    7,762,260,727/16,884,549,852 = 16,884,549,852/x
  3. Step 3: Cross multiply
    7,762,260,727x = 16,884,549,852 × 16,884,549,852
  4. Step 4: Simplify right side
    7,762,260,727x = 285,088,023,704,673,222,656
  5. Step 5: Solve for x
    x = 285,088,023,704,673,222,656/7,762,260,727
  6. Step 6: Final answer
    x = 36,727,447,547.98

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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.