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Finding the Third Proportional to 9,730,015,623 and 21,243,547,242

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Solution

The third proportional to 9,730,015,623 and 21,243,547,242 is: 46,381,045,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730,015,623 : 21,243,547,242 = 21,243,547,242 : x
  2. Step 2: Convert to fraction form
    9,730,015,623/21,243,547,242 = 21,243,547,242/x
  3. Step 3: Cross multiply
    9,730,015,623x = 21,243,547,242 × 21,243,547,242
  4. Step 4: Simplify right side
    9,730,015,623x = 451,288,299,423,085,821,952
  5. Step 5: Solve for x
    x = 451,288,299,423,085,821,952/9,730,015,623
  6. Step 6: Final answer
    x = 46,381,045,715.52

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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.