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Finding the Third Proportional to 32,249,982,008 and 50,072,927,421

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Solution

The third proportional to 32,249,982,008 and 50,072,927,421 is: 77,745,719,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,249,982,008 : 50,072,927,421 = 50,072,927,421 : x
  2. Step 2: Convert to fraction form
    32,249,982,008/50,072,927,421 = 50,072,927,421/x
  3. Step 3: Cross multiply
    32,249,982,008x = 50,072,927,421 × 50,072,927,421
  4. Step 4: Simplify right side
    32,249,982,008x = 2,507,298,060,508,733,636,608
  5. Step 5: Solve for x
    x = 2,507,298,060,508,733,636,608/32,249,982,008
  6. Step 6: Final answer
    x = 77,745,719,668.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.