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Finding the Third Proportional to 4,460,965,866 and 6,748,916,823

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Solution

The third proportional to 4,460,965,866 and 6,748,916,823 is: 10,210,317,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460,965,866 : 6,748,916,823 = 6,748,916,823 : x
  2. Step 2: Convert to fraction form
    4,460,965,866/6,748,916,823 = 6,748,916,823/x
  3. Step 3: Cross multiply
    4,460,965,866x = 6,748,916,823 × 6,748,916,823
  4. Step 4: Simplify right side
    4,460,965,866x = 45,547,878,283,772,411,904
  5. Step 5: Solve for x
    x = 45,547,878,283,772,411,904/4,460,965,866
  6. Step 6: Final answer
    x = 10,210,317,597.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.